version bump 4.31.0

[dhsorens]

No description provided.

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🤖 PR Summary

ℹ️ This PR modifies 2 file(s) under CompPoly/ToMathlib/ — consider whether a corresponding upstream PR is needed.

Infrastructure / CI

• Version bump (the nominal purpose of this PR): The lean-toolchain is updated from v4.30.0 to v4.31.0 and the mathlib dependency in lakefile.lean is correspondingly bumped from v4.30.0 to v4.31.0. This pins the project to a newer Lean compiler and mathlib release, bringing in new lemmas, definitions, and bug fixes.
• .gitignore extended: Files matching bench/evaluation* are now ignored, preventing generated benchmark outputs from being tracked.

Refactoring (bulk of the changes)

The CompPoly/ directory undergoes three categories of mechanical and stylistic cleanup, affecting virtually every subdirectory:

Typeclass constraint relaxation

• [Nontrivial F] removed from dozens of definitions, theorems, and variable binders across:
  • GuruswamiSudan/ (core correctness, interpolation, root-finding, shifted substitution, etc.)
  • Interpolation/LeeOSullivan/, Interpolation/Dense/
  • Root/ (Alekhnovich, Common, Roth–Ruckenstein including Correctness.lean with 23 theorems)
  • Other scattered files where [Field F] already implies nontriviality.
• [BEq F] and [Zero F] removed from specific functions: betterRowChoice, rowLeadingPositions, bestDomainForLength?, CMlPolynomialEval definitions.

Proof refactoring for explicitness

• simpa replaced with explicit change, rw, exact, or calc blocks in dozens of files (e.g., Deriv.lean, Factor.lean, FactorMonic.lean, ToPoly.lean, KoalaBear.lean, BabyBear.lean, Raw/Proofs.lean, RootProduct.lean, Correctness.lean, Quotient/Core.lean, Linear.lean, EuclideanAlgorithm.lean, Barycentric.lean, Bivariate/ToPoly.lean, Core.lean, Impl.lean, and many Guruswami–Sudan files).
• calc blocks used in Combinations.lean to make equality chains explicit.
• Function.comp_def added to simpa in ManyEval/Correctness.lean, Restrict.lean, NovelPolynomialBasis.lean.
• convert replaced with direct rewriting in Divisibility.lean, Core.lean, Raw/Proofs.lean.

API adjustments and instance migrations

• Import updates: Mathlib.Data.Nat.Lattice → Mathlib.Order.Lattice.Nat in List/Lemmas.lean and CMvMonomial.lean.
• Instance → theorem demotions: finiteDimensional_degreeLT (MonomialBasis.lean), instEquivalenceEquiv (Quotient/Core.lean), irreducible_quadratic_defining_poly_of_traceMap_eq_1 (IrreducibilityAndTraceMapProperty.lean); instAlgebraTowerEquiv changed from instance to def.
• @[simp] attribute removed from popWhile_nil_or_last_false (Array/Lemmas.lean).
• [Zero R] removed from toPoly definition.
• set_option linter.overlappingInstances false added in AdditiveNTT/Impl.lean.

Minor Fixes

Proof repairs for: rowLeadingPositions_size, normalizeAndEliminateData_eq, C_zero_mul, kernel_sum_forward_inverse_eq_if, lagrangeToMono_eq_mobiusPartial_zero, multilinearBasis conversions, join_eq_iff_dcast_extractLsb, towerEquiv_commutes_left, polyIrreducible, finiteDimensional_degreeLT.

• convert → simpa in Basis.lean (both abstract and concrete tower basis).
• Removal of dead code in Nat/Bitwise.lean and Frobenius.lean.

Test file

tests/CompPolyTests/Univariate/Linear.lean is modified (its per-file summary could not be parsed). The change is present but its specific content is not available in the provided summaries.

No sorry or admit placeholders are added anywhere in this PR. The PR body is empty; the above is synthesized from the per-file summaries and reflects the actual code changes. The nominal feat type is misleading—this is almost entirely a cleanup and version-bump PR with no new theorems or functionality.

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Statistics

Metric	Count
📝 Files Changed	90
✅ Lines Added	773
❌ Lines Removed	611

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Lean Declarations

✏️ Affected: 24 declaration(s) (line number changed)

• def betterRowChoice (candidate current : RowChoice F) : Bool in CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Algorithm.lean moved from L39 to L39
• lemma popWhile_nil_or_last_false (p : α → Bool) (as : Array α) in CompPoly/Data/Array/Lemmas.lean moved from L255 to L255
• theorem instExpCharOfAlgebra {K : Type*} [Field K] [Algebra Fq K] in CompPoly/Data/Polynomial/Frobenius.lean moved from L50 to L51
• theorem finiteDimensional_degreeLT {n : ℕ} (h_n_pos : 0 < n) : in CompPoly/Data/Polynomial/MonomialBasis.lean moved from L130 to L130
• theorem polyIrreducible (n : ℕ) : Irreducible (poly n) in CompPoly/Fields/Binary/Tower/Abstract/Core.lean moved from L528 to L528
• theorem polyMonic (n : ℕ) : Monic (poly n) in CompPoly/Fields/Binary/Tower/Abstract/Core.lean moved from L532 to L532
• noncomputable def instAlgebraTowerEquiv : AlgebraTowerEquiv in CompPoly/Fields/Binary/Tower/Equiv.lean moved from L464 to L479
• theorem irreducible_quadratic_defining_poly_of_traceMap_eq_1 in CompPoly/Fields/Binary/Tower/Support/IrreducibilityAndTraceMapProperty.lean moved from L25 to L25
• theorem charP_eq_2_of_add_self_eq_zero {F : Type*} [Field F] in CompPoly/Fields/Binary/Tower/Support/Preliminaries.lean moved from L1288 to L1288
• theorem unit_of_nontrivial_comm_monoid_with_zero_is_not_zero in CompPoly/Fields/Binary/Tower/Support/Preliminaries.lean moved from L69 to L69
• def rowLeadingPositions in CompPoly/LinearAlgebra/PolynomialMatrix/MuldersStorjohann.lean moved from L141 to L141
• theorem rowLeadingPositions_size (M : PolynomialMatrix F) in CompPoly/LinearAlgebra/PolynomialMatrix/MuldersStorjohannCorrectness/Fast.lean moved from L77 to L77
• def evalMleLayer {n : ℕ} in CompPoly/Multilinear/Basic.lean moved from L468 to L468
• private def evalHornerCoeffs : in CompPoly/Multilinear/Basic.lean moved from L216 to L216
• private def evalHornerStep {n : ℕ} in CompPoly/Multilinear/Basic.lean moved from L209 to L209
• private def evalMleStep {n : ℕ} in CompPoly/Multilinear/Basic.lean moved from L460 to L460
• private def evalMleValues : in CompPoly/Multilinear/Basic.lean moved from L484 to L484
• def eqPolynomial (w : Vector R n) : MvPolynomial (Fin n) R in CompPoly/Multilinear/Equiv.lean moved from L342 to L346
• def eqPolynomialDeg1 (w : Vector R n) : in CompPoly/Multilinear/Equiv.lean moved from L346 to L350
• def toMvPolynomial (p : CMlPolynomialEval R n) : MvPolynomial (Fin n) R in CompPoly/Multilinear/Equiv.lean moved from L332 to L336
• def toMvPolynomialDeg1 (p : CMlPolynomialEval R n) : in CompPoly/Multilinear/Equiv.lean moved from L337 to L341
• def bestDomainForLength? in CompPoly/Univariate/NTT/Domain.lean moved from L132 to L132
• theorem instEquivalenceEquiv [Zero R] : Equivalence (equiv (R in CompPoly/Univariate/Quotient/Core.lean moved from L47 to L47
• noncomputable def toPoly [Semiring R] (p : CPolynomial R) : Polynomial R in CompPoly/Univariate/ToPoly/Core.lean moved from L55 to L55

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sorry Tracking

• No sorrys were added, removed, or affected.

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📋 **Additional Analysis**

No findings.

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📄 **Per-File Summaries**

• .gitignore: The .gitignore file now ignores files matching bench/evaluation* (in addition to the existing entries /lake and .DS_Store). This prevents generated benchmark evaluation outputs (such as metrics, logs, or intermediate data) from being tracked by Git, keeping the repository clean of volatile or large build artifacts.

• CompPoly/Bivariate/Deriv.lean: The proof of partialDerivX_zero was rewritten: it now explicitly shows CPolynomial.support (0 : CBivariate R) = ∅ (via a hsupport block) and then uses simp with partialDerivX and that support result, replacing the previous unfold partialDerivX; convert Finset.sum_empty. The theorem’s statement and the companion partialDerivY_zero are unchanged.

• CompPoly/Bivariate/Factor.lean: The diffs refine the proofs of the private lemmas divByLinearY_divX_quot_coeff and divByLinearY_divX_rem. In divByLinearY_divX_quot_coeff, two simpa usages (one in the h0 branch and one in the h1 branch) are replaced by explicitly binding the equality with hcoeff and then chaining hcoeff.trans with CPolynomial.coeff_zero; the subsequent simpa in the h1 branch is replaced by a direct exact applying the symmetric coeff_zero. In divByLinearY_divX_rem, a simpa is replaced by hrem0.trans combined with the symmetric coeff_zero. These changes make the equality reasoning more explicit and reduce reliance on simp.

• CompPoly/Bivariate/FactorMonic.lean: In the proof of divByLinearY_euclid_toPoly, the simpa block now includes CPolynomial.ringEquiv in the list of rewriting lemmas. No other changes are present; the theorem's statement and the remainder of the file are unchanged.

• CompPoly/Bivariate/GuruswamiSudan/CoreCorrectness.lean: All four theorems (gsCore_sound, gsCore_complete_of_interpolate, gsCore_complete_of_roots_all_valid_witnesses, gsCore_complete_of_enough_matches) and eight private lemmas (hasseDerivativeEval_zero_zero, eval_composeY_eq_evalEval, eval_composeY_eq_zero_of_matched_point, matchingPointCount_le_natDegree_composeY_of_ne_zero, natDegree_composeY_toPoly_le_weightedDegreeBound, toPoly_hasseDerivative_eq_coeffwise_hasseDeriv_hasseDeriv, eval_hasseDeriv_eval_hasseDeriv_toPoly, shifted_coeff_eq_hasseDerivativeEval, taylor_composeY_toPoly_eq, rootMultiplicity_composeY_toPoly_of_matched_point, composeY_eq_zero_of_enough_matching_multiplicity_points) have had the [Nontrivial F] typeclass constraint removed from their binder lists. The change is consequential because Nontrivial is not needed for proofs that rely only on field structure and decidability, and its removal broadens applicability to fields where the trivial ring structure is possible, aligning with the standard minimal assumptions required for the Guruswami–Sudan core correctness lemmas.

• CompPoly/Bivariate/GuruswamiSudan/FilterCorrectness.lean: The [Nontrivial F] typeclass constraint has been removed from the type signatures of gsFilteredCore_sound, gsFilteredCore_complete_of_roots_all_valid_witnesses, and gsFilteredCore_complete_of_enough_matches. This simplifies the hypotheses required to apply these theorems, since [Field F] already implies [Nontrivial F] (or the proof no longer needs it), and broadens their usability.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/Basic.lean: The diff removes the Nontrivial F typeclass constraint from three definitions: lowMessageDegreeInterpolation, normalizeInterpolationPolynomialOnBasis?, and normalizeInterpolationPolynomial?. These now require only [Field F] [BEq F] [LawfulBEq F] [DecidableEq F] instead of the previous four-instance set. This broadens the applicability of these interpolation functions to all fields (including finite fields and ℚ) without needing a nontriviality assumption, which is necessary for the general Guruswami–Sudan decoding pipeline.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/Correctness.lean: This change removes the redundant [Nontrivial F] typeclass constraint from the signatures of many theorems (including the public interpolationWitnessIsValidBool_iff and lowMessageDegreeInterpolation_sound, and private lemmas such as cbivariate_toPoly_pow, linearYDivisor_C_toPoly, lowMessageYPolynomial_toPoly, cbivariate_coeff_of_toPoly_map_C, hasseDerivative_pos_xOrder_eq_zero_of_toPoly_map_C, hasseDerivativeEval_pos_xOrder_of_toPoly_map_C, hasseDerivative_zero_xOrder_toPoly_of_map_C, hasseDerivativeEval_zero_xOrder_of_toPoly_map_C, lowMessageDegreeInterpolation_ne_zero, lowMessageDegreeInterpolation_weightedDegree_zero, and lowMessageDegreeInterpolation_satisfies). Because Field F already implies Nontrivial F, the removed constraint was unnecessary, simplifying the typeclass assumptions without affecting the logical content of any theorem.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/Dense/Algorithm.lean: Removed the [Nontrivial F] typeclass constraint from the signatures of denseInterpolateWithBasisAndKernel, denseInterpolateWithKernel, and denseInterpolate. This relaxes the field requirement, making these functions usable for any Field F (including possibly trivial fields) that satisfies the remaining BEq, LawfulBEq, and DecidableEq instances. The function bodies are unchanged.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/Dense/Correctness.lean: This diff makes two main changes. First, it removes the [Nontrivial F] typeclass argument from many theorems and from the denseInterpContext definition (e.g., hasseDerivativeEval_monomialXY_eq_hasseMonomialEval, interpolationPolynomial_weightedDegree_le, denseInterpolateWithBasis_sound, denseInterpContext itself), relaxing the field requirement to just [Field F][BEq F][LawfulBEq F][DecidableEq F]. Second, in the proofs of interpolationMatrixOnBasis_get and interpolationPolynomialOnBasis_satisfies_of_solution, the simpa calls now explicitly reference interpolationMatrixOnBasis_rows and interpolationMatrixOnBasis_cols to resolve the row/column bounds. The changes do not introduce any sorry or admit.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Algorithm.lean: Removed the [Nontrivial F] typeclass constraint from the surrounding variable binder, and removed the [Zero F] typeclass argument from the betterRowChoice definition, changing its signature from [Zero F] (candidate current : RowChoice F) : Bool to just (candidate current : RowChoice F) : Bool. The Nontrivial constraint is no longer required for the code that follows, and betterRowChoice no longer needs a Zero instance because it only compares degree (a Nat) and index (a Nat), not a field element. The RowChoice structure and the rest of the file remain unchanged.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Basic.lean: Removed the [Nontrivial F] typeclass constraint from three definitions: leeOSullivanBasisPolynomial, leeOSullivanBasisRowsWithRG, and leeOSullivanBasisRows. These are the core Lee–O'Sullivan basis construction functions. Removing Nontrivial relaxes the hypotheses needed to call these functions, making them usable over fields that may be trivial, which is relevant for generic field arithmetic in the Guruswami–Sudan interpolation context. No sorry or admit were introduced.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Basis.lean: The diff makes several adjustments to the CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Basis.lean file, primarily to increase proof explicitness and remove a redundant typeclass assumption. The [Nontrivial F] instance is removed from the variable line. In cbivariate_Y_eq_outer_X, a change statement is added to explicitly rewrite the equality CPolynomial.monomial 1 (CPolynomial.C (1 : F)) = CPolynomial.X. In leeOSullivanBasisPolynomial_monicPart_coeffY_self, two change statements are added before the hYpow and hLpow hypotheses to explicitly rewrite CPolynomial.toPoly of a power as a power of CPolynomial.toPoly, and the simpa proofs for hYpow' and hLpow' are replaced with direct exact calls. In leeOSullivanBasisPolynomial_coeffY_eq_zero_of_idx_lt, the proofs of hYpow, hLpow, and hGpow are made more explicit by adding change statements to rewrite the cpoly_natDegree_pow_le bound from (idx - t) * 1 to idx - t and t * 1 to t before using simpa.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Combinations.lean: This file removes [Nontrivial F] from the typeclass arguments of all lemmas that previously required it, including cpoly_eval_X, evalEval_CC_mul, evalEval_X_mul, evalEval_sub, hasseDerivative_sub, hasseDerivative_CC_mul, hasseDerivative_X_mul_zero_xOrder, hasseDerivative_X_mul_succ_xOrder, hasseDerivativeEval_CC_mul, hasseDerivativeEval_sub, hasseDerivativeEval_X_mul_zero_xOrder, hasseDerivativeEval_X_mul_succ_xOrder, natWeightedDegree_ofYConstant_mul_le, validWitness_coeffY_eq_zero_of_yCap_lt, hasseDerivativeEval_ofYConstant_mul_eq_eval_mul_of_lower, hasseDerivativeEval_ofYConstant_mul_eq_zero_of_lower, koetterBasisCombination, koetterBasisSpanContains, koetterBasisCombination_eq_zero_of_weights_zero, and coeff_koetterBasisCombination. It refactors the proofs of coeff_ofYCoefficient, coeff_ofYConstant, ofYConstant_mul, and ofYConstant_X_mul to use explicit calc blocks with change statements instead of a simpa using CPolynomial.coeff_zero. The coeff_koetterBasisCombination proof is also rewritten to avoid a simpa over a rewrite of CBivariate.coeff_zero.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Common.lean: In Common.lean, the typeclass hypotheses on the generic field F were tightened: the [Nontrivial F] instance was removed from the variable binder and from the omit clauses of leeCoefficientForm_eval_point and leeVanishing_eval_point, and the DistinctXCoordinates lemma distinctXCoordinatesBool_iff no longer requires [Nontrivial F]. No sorries or admits were introduced.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Completeness.lean: Removed the [Nontrivial F] typeclass assumption from the surrounding variable block of the LeeOSullivan namespace. Because Field F already implies Nontrivial F, the redundant instance was eliminated to simplify the context for the leeOSullivanPositiveInterpolate_complete_of_row theorem and any other declarations using this variable binder.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Divisibility.lean: Summary unavailable — error: 1 validation error for _ProseSummary
  Invalid JSON: expected value at line 1 column 1 [type=json_invalid, input_value='The typeclass assumption...s apply more generally.', input_type=str]
  For further information visit https://errors.pydantic.dev/2.13/v/json_invalid

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Normalization.lean: Removed the [Nontrivial F] typeclass assumption from the variable context, thereby relaxing the hypotheses for the theorem about normalization preserving the interpolation witness contract (and any other declarations in the file). This allows the results to be used without requiring the field F to be nontrivial, increasing generality.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Rows.lean: This diff modifies CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Rows.lean to: (1) remove the [Nontrivial F] instance requirement from the variable block and from several theorem and private theorem declarations (koetterBasisCombination_congr_weights, ofCoeffRow_toCoeffRow_eq_of_width_le, cpoly_C_one_mul, cpoly_C_zero_mul, semanticUnitRowCoeffs_size, semanticUnitRowCoeffs_getD_self, semanticUnitRowCoeffs_getD_ne, coeff_ofCoeffRow_rowGet, ofCoeffRow_rowLinearCombination_unit, ofCoeffRow_matrix_getD_semantic_rowSpan, natWeightedDegree_ofCoeffRow_le_of_lee_rowShiftedDegree?_le) as well as ofCoeffRow_rowSpan_lee_coeff_eq_zero_of_width_le (which remained unchanged in signature but is listed for completeness), making the theory applicable to a broader class of fields; and (2) refactor three simpa-based proofs in leeOSullivanBasisPolynomial_coeff_eq_zero_of_width_le to explicitly state the intermediate inequality CPolynomial.natDegree ((CBivariate.Y : CBivariate F) ^ (idx - t)) ≤ (idx - t) * 1, CPolynomial.natDegree ((CBivariate.linearYDivisor R : CBivariate F) ^ t) ≤ t * 1, and CPolynomial.natDegree ((CBivariate.ofYConstant G : CBivariate F) ^ (params.multiplicity - t)) ≤ (params.multiplicity - t) * 0 before simplifying to the original simpa goals, which clarifies the application of cpoly_natDegree_pow_le.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Selection.lean: Removed the [Nontrivial F] typeclass assumption from the variable binder, and removed [Nontrivial F] block in the omit directives of all 18 following private/private theorems (betterRowChoice_true_candidate_degree_le, betterRowChoice_false_current_degree_le, betterRowChoice_not_true_current_degree_le, leastShiftedDegreeRowStep?_none, leastShiftedDegreeRowStep?_some_of_best_some, leastShiftedDegreeRowStep?_preserves_degree_le, leastShiftedDegreeRowStep?_degree_le_of_row, leastShiftedDegreeFold_some_of_best_some, leastShiftedDegreeFold_preserves_degree_le, leastShiftedDegreeFold_degree_le_of_mem, leastShiftedDegreeFold_none, leastShiftedDegreeFold_valid, leastShiftedDegreeChoice?_some_valid, leastShiftedDegreeChoice?_degree_le, leastShiftedDegreeChoice?_some_of_degree, leastShiftedDegreeRow?_some_valid) and the two public theorems (leastShiftedDegreeChoice?_some_valid, leastShiftedDegreeChoice?_degree_le, leastShiftedDegreeChoice?_some_of_degree, leastShiftedDegreeRow?_some_valid). The [Nontrivial F] assumption is no longer needed by any of these results; the change tightens the typeclass context.

• CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Soundness.lean: Removed the [Nontrivial F] typeclass constraint from the variable block, thereby generalizing the leeOSullivanInterpolate_sound theorem (and any other declarations using that context) to hold for any field F satisfying [Field F] [BEq F] [LawfulBEq F] [DecidableEq F] instead of requiring nontriviality.

• CompPoly/Bivariate/GuruswamiSudan/PolynomialCorrectness.lean: Summary unavailable — error: 1 validation error for _ProseSummary
  Invalid JSON: expected value at line 1 column 1 [type=json_invalid, input_value='The proof for `array_get...ements were introduced.', input_type=str]
  For further information visit https://errors.pydantic.dev/2.13/v/json_invalid

• CompPoly/Bivariate/GuruswamiSudan/Root/Alekhnovich/Algorithm.lean: The diff removes the [Nontrivial F] typeclass constraint from the signatures of nine functions: shiftedResidualUpTo, composeRootPrefixes, alekhnovichRootPrefixesWithFuel, alekhnovichRootPrefixes, finishAlekhnovichPrefixWithAlekhnovichWithFuel, alekhnovichRootCandidatesWithFuel, finishAlekhnovichPrefixWithAlekhnovich, alekhnovichRootCandidates, and alekhnovichRootsYDegreeLt. This relaxation eliminates an unnecessary assumption, allowing these functions to be used in contexts where the field may be trivial, without altering their definitions or behavior. No new theorems, definitions, sorries, or admits are introduced.

• CompPoly/Bivariate/GuruswamiSudan/Root/Alekhnovich/Correctness.lean: This diff modifies CompPoly/Bivariate/GuruswamiSudan/Root/Alekhnovich/Correctness.lean by removing the [Nontrivial F] typeclass argument from nearly every theorem and lemma in the file. The change is applied to all private lemmas and public theorems that previously included [Nontrivial F] in their typeclass context, while retaining all other typeclass arguments such as [Field F], [BEq F], [LawfulBEq F], and [DecidableEq F] where present. This standardization streamlines the typeclass requirements across the correctness proofs for Alekhnovich root filtering, without altering any theorem statements, proofs, or the content of the declarations themselves.

• CompPoly/Bivariate/GuruswamiSudan/Root/Common.lean: The file CompPoly/Bivariate/GuruswamiSudan/Root/Common.lean removes the [Nontrivial F] typeclass constraint from three definitions: initialCoefficientPolynomial, isRootYDegreeLtBool, and rootsYDegreeLtFromCandidates. All three previously required [Nontrivial F] in their type signatures; after this change they only require [Field F] [BEq F] [LawfulBEq F] [DecidableEq F] (except the latter two, which never had [DecidableEq F]). This relaxation broadens the applicability of these definitions to potentially trivial fields, which may be necessary for certain degenerate cases in the Guruswami-Sudan algorithm or to avoid unnecessary assumptions in downstream proofs. No other definitions, theorems, or sorry/admit blocks are introduced or modified.

• CompPoly/Bivariate/GuruswamiSudan/Root/Common/Lemmas.lean: Removed the redundant [Nontrivial F] typeclass constraint from 14 theorems that already assume [Field F] (which implies Nontrivial). The affected theorems are: polynomialPrefix_succ, cpoly_coeff_zero_mul, composeY_coeff_zero_zipIdx_eq_range_aux, composeY_coeff_zero_fold_eq, composeY_toPoly, composeYCoeff_monomial_zero_eq_composeY_coeff_zero, initialCoefficientPolynomial_eval_eq_composeY_coeff_zero, composeY_of_composeYHorner_eq_zero, composeYHorner_eq_zero_of_composeY, isRootYDegreeLtBool_of_root, rootsYDegreeLtFromCandidates_sound, rootsYDegreeLtFromCandidates_eraseDups_sound, rootsYDegreeLtFromCandidates_complete_of_mem, and rootsYDegreeLtFromCandidates_eraseDups_complete_of_mem. No new functionality or sorry/admit introduced; this is a cleanup that eliminates unnecessary typeclass assumptions.

• CompPoly/Bivariate/GuruswamiSudan/Root/FieldRoots/KoalaBear.lean: In both koalaBearSmoothRootProduct_valid and fastKoalaBearSmoothRootProduct_valid, the proof was modified to include a change tactic that explicitly rewrites the goal into the form CPolynomial.Roots.FiniteField.smoothSplitterInput .... The simpa call was correspondingly simplified to no longer unfold koalaBearSmoothCyclicRootContext, removing a dependency on the definition of that context. These changes make the proofs more robust by directly matching the expected type of finiteFieldRootProductWith_smoothSplitterInput rather than relying on simpa to rewrite through the now-unused context.

• CompPoly/Bivariate/GuruswamiSudan/Root/RothRuckenstein/Algorithm.lean: Removed the [Nontrivial F] typeclass constraint from nine definitions in Algorithm.lean: substituteYRootPlusXY, transformedRothRuckensteinResidual, nextCoefficientPolynomial, rootPrefixExtensionsWithFieldRootContext, rothRuckensteinRootPrefixes, transformedRothRuckensteinRootPrefixesWithFuel, transformedRothRuckensteinRootPrefixes, transformedRothRuckensteinRootsYDegreeLt, and rothRuckensteinRootsYDegreeLt. The [Nontrivial F] instance is no longer required for these functions, simplifying their type signatures while preserving all other existing constraints and functionality.

• CompPoly/Bivariate/GuruswamiSudan/Root/RothRuckenstein/Correctness.lean: This diff removes the [Nontrivial F] typeclass assumption from 23 theorems and definitions in Correctness.lean, including the public theorems rothRuckensteinRootsYDegreeLt_sound, initialCoefficientPolynomial_stripXAdicFactor_ne_zero, and rothRuckensteinRootsYDegreeLt_complete, the new GSRootContext wrappers rothRuckensteinRootContext and transformedRothRuckensteinRootContext, and many private lemmas used in the completeness proof. No sorry or admit statements are introduced. No new theorems, definitions, or structures are added, and the logical content of the file is unchanged; the sole purpose is to weaken the typeclass constraint, broadening the contexts in which these results apply.

• CompPoly/Bivariate/GuruswamiSudan/Root/RothRuckenstein/Lemmas.lean: The diff refactors the proof of cpoly_size_eq_natDegree_succ_of_ne_zero by replacing simpa with an explicit change and exact. It also removes the [Nontrivial F] typeclass constraint from six theorems: initialCoefficientPolynomial_coeff_of_lt, cbivar_toPoly_eq_C_X_pow_mul_divXPower_of_xAdicOrder, cbivar_xAdicOrder?_none_eq_zero, dropXPower_eq_C_add_X_mul_dropXPower_succ, foldl_cpoly_toPoly_add, and cpoly_monomial_substitution_sum. This relaxation weakens the hypotheses of these results, making them applicable to fields that are not necessarily nontrivial (though Field already implies Nontrivial; the change may be a cleanup of redundant instances).

• CompPoly/Bivariate/GuruswamiSudan/Root/ShiftedSubstitution/Lemmas.lean: The file removes the [Nontrivial F] typeclass constraint from three theorems: shiftedSubstitutionCoeffTerm_sum, composeY_shiftedSubstitutionCoeffFold, and composeY_substituteYPolynomialPlusXPowerY. This broadens the applicability of each theorem to fields that may be trivial (e.g., the field with one element), without altering their statements or proofs. No sorries or admits are present in the diff.

• CompPoly/Bivariate/ToPoly.lean: The diff refactors proofs in CompPoly/Bivariate/ToPoly.lean for several theorems: natDegreeX_toPoly replaces a convert-aesop block with a rewrite using support_toPoly_outer, CBivariate.supportY, and CBivariate.natDegreeX; Y_toPoly now uses rw and simp with Polynomial.monomial_one_one_eq_X instead of a simpa; monomialXY_toPoly makes the application of CPolynomial.monomial_toPoly explicit via congrArg; evalX_toPoly_coeff replaces convert with a calc block that directly applies CPolynomial.monomial_toPoly and Polynomial.coeff_monomial; and swap_toPoly_coeff uses coeff_zero explicitly for the constant coefficient. No new definitions or sorry/admit are introduced.

• CompPoly/Data/Array/Lemmas.lean: Removed the @[simp] attribute from the lemma popWhile_nil_or_last_false, which previously stated that for a predicate p and array as, if (as.popWhile p).size > 0, then p applied to the last element of (as.popWhile p) is false. The lemma itself is unchanged, but it will no longer be applied automatically by the simplifier.

• CompPoly/Data/ExtTreeMap/DTreeMap.lean: The diff modifies two proofs in DTreeMap.lean. In Const.get?_foldl_no_touch, the simpa step adds if_false to the simplification set, which likely resolves a failing rewrite by making the proof go through. In Const.get?_mergeWith, a simpa only block is replaced with exact, a simple refactor that directly applies congrArg to the previously proved equality, removing an unnecessary (and possibly fragile) simplification pass. No sorry or admit are introduced.

• CompPoly/Data/Fin/BigOperators.lean: In Fin.predRecOnSameFinType and the subsequent downward recursion principle, the proofs have been modified. For the upward recursion, the by_contra block was replaced with exfalso followed by apply h_i_add_1, simp [i], and omega, making the argument more direct. For the downward recursion, a simp [i_next] step was added after the convert call to simplify a side goal. These changes refine the proof style without altering the definitions or theorems.

• CompPoly/Data/List/Lemmas.lean: Updated the import Mathlib.Data.Nat.Lattice to Mathlib.Order.Lattice.Nat, reflecting a upstream mathlib reorganization. In the proof of rightpad_eq_if_rightpad_eq_of_ge, replaced a convert hEq using 1 step with simpa only [rightpad] using hEq, simplifying the derivation of the auxiliary equality h_subst. No sorry or admit were introduced.

• CompPoly/Data/Nat/Bitwise.lean: Removed two redundant or unused simp only lines from exist_bit_diff_if_diff and getBit_of_binaryFinMapToNat. In exist_bit_diff_if_diff, the removed change line was unnecessary because apply already uses Fin.ext to reduce to value equality. In getBit_of_binaryFinMapToNat, the removed simp only was dead code that had no effect on the proof. These changes have no semantic impact on the lemmas' statements or correctness.

• CompPoly/Data/Polynomial/Frobenius.lean: In CompPoly/Data/Polynomial/Frobenius.lean, the previous instance instExpCharOfAlgebra was changed to a theorem and now uses omit [Fintype Fq] in, removing the dependency on the Fintype instance for Fq. Additionally, a simp only line (the second one, related to h_u_pow) was removed from the proof of degree_dvd_of_irreducible_dvd_X_pow_card_pow_sub_X.

• CompPoly/Data/Polynomial/MonomialBasis.lean: Changed finiteDimensional_degreeLT from an instance to a theorem (keeping its type and proof identical). This means the declaration is no longer automatically available as a typeclass instance; it can still be used explicitly as a theorem.

• CompPoly/Fields/BabyBear.lean: In CompPoly/Fields/BabyBear.lean, the proof of the lemma twoAdicGenerators_pow_twoPow_eq_one was refactored. The previous simpa invocation using sqChain_twoAdicGenerators_shift was replaced with a more explicit proof that uses convert to apply sqChain_twoAdicGenerators_shift, and a hidx equality showing that a Fin representation ⟨0 + n, ...⟩ equals ⟨n, hn⟩, justified by an ext and simp block. The simpa call now uses the twoAdicGenerators property directly. No new definitions or sorries are introduced; the change refines the proof term without altering the lemma's statement or its intended meaning.

• CompPoly/Fields/Binary/AdditiveNTT/Correctness.lean: The lemma computableAdditiveNTTFastAction_run_eq_fold is refactored: its statement and proof are rewritten to explicitly use Fin.foldlM/Fin.foldl in place of the previous monad-based formulation, and the proof is restructured to use change/exact instead of a single simpa. Several internal change/rw steps in NTTStage_correctness are removed, simplifying the proof by removing redundant Nat.getBit conversions. No sorry or admit are introduced.

• CompPoly/Fields/Binary/AdditiveNTT/Impl.lean: Added set_option linter.overlappingInstances false and a clarifying comment before computableNTTStage definition to suppress overlapping-instance linter warnings. This ensures the Fact instance remains explicit with β and 𝔽q as named parameters, preserving type inference for callers of computableAdditiveNTT.

• CompPoly/Fields/Binary/AdditiveNTT/Intermediate.lean: In iteratedQuotientMap, the convert h_comp.symm proof block was refactored: the two omega calls were replaced with using 1 and two subgoals handled by unfold intermediateNormVpoly; simp and a simp. In getSDomainBasisCoeff_of_sum_repr, the simpa involving b.linearIndependent.map' was given an additional Function.comp_def argument. No new theorems, definitions, or sorrys were introduced.

• CompPoly/Fields/Binary/AdditiveNTT/NovelPolynomialBasis.lean: The diff modifies three lemmas in NovelPolynomialBasis.lean to adapt to Mathlib API changes and to strengthen proof structure. In βᵢ_not_in_Uᵢ, the rewrite lemma Set.compl_eq_univ_diff is replaced by Set.compl_eq_univ_sdiff (likely a renaming upstream). In rootMultiplicity_comp_X_sub_C, the proof is restructured: the original single-block simp is expanded into explicit subgoals, with an additional rw [Polynomial.comp_eq_aeval] step and a ring tactic call, ensuring the goal is closed after a library change that broke the previous simp. In roots_comp_X_sub_C, a redundant simp only line is removed. In degree_Xⱼ, the block Finset.sum_congr rfl is replaced by a two-subgoal structure (one Finset.sum_congr and one rfl), again adapting to a failing simplification. No new theorems, definitions, or sorry/admit are added.

• CompPoly/Fields/Binary/Tower/Abstract/Basis.lean: Added import Mathlib.Algebra.Ring.Ext, which provides Semiring.ext. In multilinearBasis, the convert (powerBasisSucc (r1)).basis was changed to convert (powerBasisSucc (r1)).basis using 1 with two new subproofs: one applying powerBasisSucc_dim to rewrite the dimension, and another using Semiring.ext to show the ring structures coincide.

• CompPoly/Fields/Binary/Tower/Abstract/Core.lean: Summary unavailable — error: 1 validation error for _ProseSummary
  Invalid JSON: expected value at line 1 column 1 [type=json_invalid, input_value='The file modifies two pr...orem polyIrreducible.', input_type=str]
  For further information visit https://errors.pydantic.dev/2.13/v/json_invalid

• CompPoly/Fields/Binary/Tower/Concrete/Basis.lean: This diff refines the implementation of basisSucc and multilinearBasis. In basisSucc, two convert proofs were replaced with simpa for cleaner reasoning. In multilinearBasis, the powerBasisSucc conversion was made more explicit by adding using 1 and supplying two auxiliary equality proofs: one using the new lemma powerBasisSucc_dim (from Mathlib.Algebra.Ring.Ext, which is now imported) to handle the dimension component, and a Semiring.ext rfl rfl to handle the ring structure component. The import Mathlib.Algebra.Ring.Ext was added to support this change.

• CompPoly/Fields/Binary/Tower/Concrete/Core.lean: The proof of join_eq_iff_dcast_extractLsb was restructured: the previous monolithic simpa block was replaced with an explicit constructor split that separates the forward and backward directions. The new proof uses BitVec.extractLsb_dcast_eq to relate extractLsb of dcast sum.symm x to extractLsb of x, and then applies dcast_eq to connect the join condition. No theorems, definitions, or API signatures were added or removed; the change solely refines the proof structure.

• CompPoly/Fields/Binary/Tower/Equiv.lean: The file CompPoly/Fields/Binary/Tower/Equiv.lean is refactored to replace the generic AlgebraTower.algebraMap with the specific functions towerAlgebraMap and concreteTowerAlgebraMap. This affects the lemmas towerRingHomForwardMap_zero, towerRingHomForwardMap_one, and towerRingHomForwardMap_split_eq, each of which drops the BTField.eq_1 rewrites from their simp calls. The proof of towerEquiv_commutes_left_diff is restructured to use the new concrete algebra maps and the lemma towerAlgebraMap_succ; its statement and the related towerEquiv_commutes_left are updated accordingly. Finally, the declaration instAlgebraTowerEquiv is changed from a noncomputable instance to a noncomputable def, so it is no longer automatically available as a typeclass instance.

• CompPoly/Fields/Binary/Tower/Support/IrreducibilityAndTraceMapProperty.lean: The instance irreducible_quadratic_defining_poly_of_traceMap_eq_1 was changed to a theorem. No other changes are present.

• CompPoly/Fields/Binary/Tower/Support/Preliminaries.lean: Summary unavailable — error: 1 validation error for _ProseSummary
  Invalid JSON: expected value at line 1 column 1 [type=json_invalid, input_value='The diff changes two `in...ly available instances.', input_type=str]
  For further information visit https://errors.pydantic.dev/2.13/v/json_invalid

• CompPoly/Fields/KoalaBear/Basic.lean: In CompPoly/Fields/KoalaBear/Basic.lean, the proof of twoAdicGenerators_pow_twoPow_eq_one is modified. The simpa using sqChain_twoAdicGenerators_shift is replaced with a convert block that explicitly rewrites the equality of indices via hidx and congrArg, eliminating the reliance on an implicit simpa that previously assumed the equality ⟨0 + n, …⟩ = ⟨n, hn⟩ directly. The change ensures the equality holds without relying on automatic simplification of 0 + n to n in the index type Fin (twoAdicity + 1). No sorry or admit is introduced.

• CompPoly/Fields/PrattCertificate.lean: The proof of ZMod.powNeOfPowMod was refactored. The original proof used convert h' after showing a ^ ((n - 1) / q) % n = 1 % n; the new proof rewrites this as (a ^ ((n - 1) / q)).mod n = 1 by first rewriting with h' and then applying Nat.mod_eq_of_lt hn', where hn' : 1 < n is derived from the hypothesis hn. This eliminates the earlier use of convert.

• CompPoly/LinearAlgebra/Dense/KernelInPlaceCorrectness.lean: In CompPoly/LinearAlgebra/Dense/KernelInPlaceCorrectness.lean, the proof of normalizeAndEliminateData_eq is repaired. A new hypothesis hrows is introduced to record that scaleRow does not change the number of rows, mirroring the existing hcols for columns. This hrows is then added to the simpa block so that the forIn_eliminate_eq lemma, which expects a matrix with matching row count, can be applied correctly.

• CompPoly/LinearAlgebra/PolynomialMatrix/MuldersStorjohann.lean: The definition rowLeadingPositions was changed by removing the typeclass constraints [Zero F] [BEq F] from its signature, making the function more general (it no longer requires Zero and BEq instances for F). No other changes were made to the file.

• CompPoly/LinearAlgebra/PolynomialMatrix/MuldersStorjohannCorrectness/Fast.lean: The theorem rowLeadingPositions_size has been generalized: the [Field F] typeclass requirement is removed from the enclosing omit block, and the explicit [Zero F] argument is removed from the theorem’s signature. Consequently, the lemma now holds for any F with only [LawfulBEq F] and [DecidableEq F], broadening its applicability beyond field or zero-type assumptions.

• CompPoly/LinearAlgebra/PolynomialMatrix/RowSpan.lean: The file CompPoly/LinearAlgebra/PolynomialMatrix/RowSpan.lean was modified to fix an inconsistency in the proof of the private theorem C_zero_mul. The simpa tactic now explicitly references CPolynomial.toPoly_zero as an additional rewrite rule, ensuring the goal matches the equality derived from hpoly. No new theorems, definitions, or sorries were introduced; the change is a minor proof repair that likely resolves a previously broken or non-terminal simplification step.

• CompPoly/Multilinear/Basic.lean: Removed explicit [CommSemiring R] and [CommRing R] typeclass constraints from five private helper definitions (evalHornerStep, evalHornerCoeffs, evalMleStep, evalMleValues) and the public function evalMleLayer, making their signatures more generic (the required algebraic structure is now inferred from the context). Additionally, in equivMonomialLagrangeRepr, the proofs of left_inv and right_inv were simplified by replacing Decidable.byContradiction with omega-based arguments, eliminating the dependency on the auxiliary lemmas _proof_1 and _proof_2.

• CompPoly/Multilinear/Equiv.lean: Removed the AddCommGroup R and CommRing R constraints from several definitions in the CMlPolynomialEval namespace (toMvPolynomial, toMvPolynomialDeg1, eqPolynomial, eqPolynomialDeg1), so they now only require [CommRing R] declared as a variable earlier in the namespace rather than as per-declaration instances. Also moved the [CommSemiring R] variable a few lines later into the CMlPolynomial namespace, and changed the global variable {R : Type*} [CommSemiring R] {n : ℕ} to variable {R : Type*} {n : ℕ}.

• CompPoly/Multilinear/ManyEval/Correctness.lean: In the proof of evalManyMleByLayers_eq_map_evalMle, the simpa block was updated to include Function.comp_def alongside the existing lemmas evalManyMleByLayers and List.flatMap_map, likely to make the rewriting step go through.

• CompPoly/Multilinear/TransformEquiv.lean: Fixed a proof in the private lemma lagrangeToMono_eq_mobiusPartial_zero by adding a missing case, rewriting a convert step that previously used simp to instead apply congrArg with Fin.ext and h1.

• CompPoly/Multivariate/CMvMonomial.lean: The import Mathlib.Data.Nat.Lattice was replaced with Mathlib.Order.Lattice.Nat, updating the dependency to reflect the current location of lattice-related theorems for natural numbers in Mathlib.

• CompPoly/Multivariate/CMvPolynomial.lean: Removed the invocation of CMvMonomial.eq_1 from the simp blocks in both lemmas fromUnlawful_fold_eq_fold_fromUnlawful₀ and fromUnlawful_fold_eq_fold_fromUnlawful, and eliminated a redundant rfl line in the latter; these changes simplify the proofs by relying on the existing typeclass machinery and coeff_add rather than the explicit equality lemma.

• CompPoly/Multivariate/CMvPolynomialEvalLemmas.lean: This diff refactors a batch of eval_* lemmas in CompPoly/Multivariate/CMvPolynomialEvalLemmas.lean to replace their previous proofs (which used simpa with eval₂Hom_apply and (eval₂Hom ...).map_*) with proofs based on eval_equiv. The affected lemmas are eval_zero, eval_one, eval_neg, and eval_sub; for example, eval_zero now does simp [eval_equiv]. Additionally, the proof of eval_pow is rewritten from a one-line simpa using (eval₂Hom ...).map_pow to an explicit induction on k that chains pow_succ, eval_mul, and the induction hypothesis.

• CompPoly/Multivariate/Lawful.lean: The Mul instance for Lawful n R no longer requires [Zero R] (only [Mul R] and [Add R]), and the neg definition (and the section it resides in) no longer requires [BEq R] and [LawfulBEq R]. These changes relax previously unnecessary typeclass constraints, making the operations applicable to a wider class of coefficient rings R.

• CompPoly/Multivariate/MvPolyEquiv/Instances.lean: 在CompPoly/Multivariate/MvPolyEquiv/Instances.lean中，对map_one引理的证明进行了重构：移除了局部引理one_one_get₁，改用ExtTreeMap.getElem?_ofList_of_mem直接重写目标，并以rfl结束。这一改动简化了证明流程，消除了冗余的辅助步骤，使得代码更清晰且更易于维护。

• CompPoly/Multivariate/Operations.lean: In the lemma bind₁_eq_aeval, the simpa rule now explicitly includes the equality (algebraMap R (CMvPolynomial m R)) c = CMvPolynomial.C (n := m) c as rfl to disambiguate the aeval_C rewrite. In the lemma fromCMvPolynomial_X, the simpa set is extended with CPoly.polyRingEquiv and CPoly.polyEquiv to resolve a rewriting or typeclass issue in the congrArg application.

• CompPoly/Multivariate/Restrict.lean: The proof of the private lemma list_ofFn_sum_eq_finSum was updated: the simpa call now explicitly includes Function.comp_def to accommodate a change in the Fin.sum_univ_fun_getElem lemma. This lemma equates the sum of a list produced by List.ofFn to the sum over the corresponding Fin n indices.

• CompPoly/ToMathlib/MvPolynomial/Equiv.lean: The diff modifies CompPoly/ToMathlib/MvPolynomial/Equiv.lean with two small adjustments to proofs, not adding or removing any sorry or admit. In finSuccEquivNth_coeff_coeff, the simpa block now includes if_true in its list of simplifications. In support_finSuccEquivNth, the simpa block now explicitly provides mem_support_iff and coeff as rewrite rules.

• CompPoly/ToMathlib/Polynomial/BivariateWeightedDegree.lean: The proof of natWeightedDegree_monomial was refactored: the norm_num tactic was removed from the le_antisymm block, and the first inequality is now proven using Finset.sup_le with simp (instead of norm_num and simp [coeff_monomial]). The second subgoal’s proof is unchanged.

• CompPoly/Univariate/Barycentric.lean: In the proof of BarycentricDomain.eval_eq_interpolate_eval, a simp call with Lagrange.interpolate was added after the convert step. This fills in a previously unproven equality, completing the theorem that equates barycentric evaluation to Lagrange interpolation over the domain nodes.

• CompPoly/Univariate/Basic.lean: The diff refactors several proofs in CompPoly/Univariate/Basic.lean to replace simpa with explicit change and exact calls that directly invoke underlying raw operations, and simplifies the pow_is_trimmed lemma. Specifically: the Add instance now uses a new lemma Raw.add_is_trimmed instead of Trim.trim_twice; the proofs of add_comm, add_assoc, zero_add, add_zero, nsmul_zero, nsmul_succ, coeff_one, the Nontrivial instance, parts of induction_on, degree_eq_support_max_aux_lastNonzero, degree_eq_natDegree, and leadingCoeff_eq_coeff_natDegree are rewritten to avoid simpa by explicitly converting to equalities on the raw underlying CPolynomial.Raw R; and pow_is_trimmed is rewritten to use one_is_trimmed and mul_is_trimmed directly with pow_succ, replacing a convert‑based proof. No new theorems, definitions, sorry, or admit are introduced.

• CompPoly/Univariate/EuclideanAlgorithm.lean: The proof of gcdMonic_toPoly_eq_normalize_gcd was refactored to no longer rely on a simpa block. Instead, it first rewrites CPolynomial.gcdMonic and CPolynomial.Raw.gcdMonic with a definitional change to the underlying gcdMonicWithFuel call with the specific fuel (p.val.size + q.val.size + 1), then applies gcdMonicWithFuel_toPoly_eq_normalize_gcd directly with a fuel-supply argument that is proved using a helper lemma hqdeg.

• CompPoly/Univariate/Linear.lean: In CompPoly/Univariate/Linear.lean, six proofs inside the AddCommMonoid and Module instances on the subtype degreeLT were refactored. Each affected proof (add_assoc, add_comm, nsmul_succ, mul_smul, add_smul) previously used simpa with the corresponding CPolynomial lemma; the change replaces each simpa with an explicit change of the goal and then a direct exact to the same lemma, making the equality being proved visible.

• CompPoly/Univariate/NTT/Domain.lean: In CompPoly/Univariate/NTT/Domain.lean, the function bestDomainForLength? removed its [Field R] typeclass constraint from the definition signature, making it no longer require R to be a field. The parameters and return type — maxLogN, domainOfLogN, domainOfLogN_logN, requiredLen, and the Option (FittingDomain R requiredLen) result — remain unchanged. Since this function previously depended on a field instance to construct domain tables, removing the constraint broadens its applicability to any ring or type R (provided the caller supplies the necessary domain data), which may affect call sites that relied on the field assumption.

• CompPoly/Univariate/NTT/Interpolation.lean: Summary unavailable — error: 1 validation error for _ProseSummary
  Invalid JSON: expected value at line 1 column 1 [type=json_invalid, input_value='The proof of `inverseSpe...orries were introduced.', input_type=str]
  For further information visit https://errors.pydantic.dev/2.13/v/json_invalid

• CompPoly/Univariate/NTT/Kernel.lean: In kernel_sum_forward_inverse_eq_if, the proof was refactored from a single simpa to a convert block. The new proof uses convert kernel_sum_eq_if D.inverse i j using 1 followed by two simp invocations and two rfl calls, making the rewriting steps explicit.

• CompPoly/Univariate/NTTFast/Correctness/Pipeline.lean: In CompPoly/Univariate/NTTFast/Correctness/Pipeline.lean, four simpa proofs were modified to include an explicit Plan.ofDomain (or ofDomain) lemma in their simplification set, fixing a broken rewrite caused by a prior refactor that made ofDomain no longer automatically reducible. The affected theorems are: forwardImpl_ofDomain_correct (line 35), Raw.fastMulImpl_correct (line 143), fastMulImpl_correct (line 160), and the two fastMulImpl_correct theorems (one in Raw namespace, one not). No new sorry or admit were introduced.

• CompPoly/Univariate/Quotient/Core.lean: The diff makes two changes in CompPoly/Univariate/Quotient/Core.lean. First, the instEquivalenceEquiv instance is changed from instance to theorem, meaning it no longer registers an instance for Equivalence (equiv (R := R)). Second, the intCast_negSucc proof in the Ring (QuotientCPolynomial R) instance is refactored: the previous version used a convert-based approach with grind. The new proof uses Quotient.sound and pattern-matches on i, using simp with CPolynomial.Raw.C, CPolynomial.Raw.neg, and Int.negSucc_eq (the last only in the zero case) to establish the equality.

• CompPoly/Univariate/Raw/Context.lean: Refactored the modByMonic_eq_modByMonic proof inside the reversal definition: replaced the use of CPolynomial.ofArray with explicit construction of CPolynomial terms via Trim.isCanonical_of_trim_eq, and changed the reasoning to directly apply CPolynomial.modByMonicByReversal_eq_modByMonic to these canonical terms, avoiding a simpa step. No new definitions, theorems, or sorry/admit were introduced.

• CompPoly/Univariate/Raw/Core.lean: Summary unavailable — error: 1 validation error for _ProseSummary
  Invalid JSON: expected value at line 1 column 1 [type=json_invalid, input_value='该文件修改了定理...、定理或 sorry。', input_type=str]
  For further information visit https://errors.pydantic.dev/2.13/v/json_invalid

• CompPoly/Univariate/Raw/Proofs.lean: This commit rewrites four proofs and one auxiliary lemma in CompPoly/Univariate/Raw/Proofs.lean to remove convert calls in favor of direct rewriting (rw, simpa, change).

• pow_succ is rewritten from convert (Function.iterate_succ_apply' (mul p) n (C 1)) to change + rw, making the equality explicit.

• In smul_distrib_trim, the convert that used h_trim_eq is replaced by a rw block that uses Trim.trim_twice and add_coeff_trimmed, removing the unfold/simp/decide/grind block.

• X_mul_eq_mulX_trim has its two convert calls replaced: the first uses convert only once, then uses rfl for the secondary goal instead of infer_instance; the second convert is removed entirely.

• smul_monomial_one_trim replaces a convert with subst r and simpa using trim_replicate_zero.

• add_mul replaces a convert with change + exact using Trim.size_le_size and add_size.

• sub_coeff is rewritten from a chain of convert/h_add/h_neg to a direct rw of add_coeff_trimmed and neg_coeff.

• sub_is_trimmed is also adjusted to use rw instead of convert.

No new sorry or admit are introduced.

• CompPoly/Univariate/Roots/Correctness.lean: The file CompPoly/Univariate/Roots/Correctness.lean received three blocks of changes, each at the proof level. In monicNormalize_root_iff (line ~195) and in both finiteFieldRootProductWith_complete (line ~808) and finiteFieldRootProduct_complete (line ~838), a simpa tactic was replaced with an explicit change p.val = (#[] : CPolynomial.Raw F) followed by exact of the hypothesis, and the change line is a new addition. In linearRootOfFactor?_eq_some_of_candidate (line ~442), a proof step change -(factor.coeff 0) / factor.coeff 1 = a was removed entirely, while the subsequent apply/rw block remains. The significance of these changes is that they replace uses of simpa by more explicit change statements (possibly to make the rewriting more robust or to avoid a simp lemma interaction) and delete a change that was no longer needed (perhaps because the equality it stated is now handled differently or is already present in the context).
• CompPoly/Univariate/Roots/RootProduct.lean: This diff replaces all remaining simpa using hpraw0 and simpa using htrim patterns in RootProduct.lean with explicit change p.val = (#[] : CPolynomial.Raw F) followed by exact hpraw0 or exact htrim. These changes occur in the proofs of finiteFieldRootProductWith_toPoly_eq_normalize_gcd, raw_monicNormalize_toPoly_monic, finiteFieldRootProductWith_dvd_frobenius_of_context, monicNormalize_ne_zero_of_ne_zero, gcdMonic_ne_zero_of_left, finiteFieldRootProductWith_ne_zero_of_ne_zero, and in one instance in raw_modContext_toPoly_eq_modByMonic (where the change is instead a rw followed by a simpa with an expanded set of lemmas). The overall effect is that the reasoning is made more explicit and less reliant on simpa; no definitions, theorems, or signatures are added or removed, and no sorry or admit are introduced.
• CompPoly/Univariate/ToPoly/Core.lean: The toPoly definition in the ToPolyDefs section drops the [Zero R] instance argument, keeping only [Semiring R]. In the proof of coeff_toPoly, the motive induction start is simplified from a change+simp block to a direct simp. In isCanonical_toImpl, the proof of hlast now explicitly references Array.getLast with simp to resolve its meaning, adjusting for a change in that API. No sorry or admit are introduced.
• CompPoly/Univariate/ToPoly/Impl.lean: This file (Impl.lean) is the core implementation correctness file for CPolynomial R, proving that each CPolynomial operation maps to the corresponding Polynomial R operation under .toPoly. The diff refactors several of those proofs to use direct rw and exact calls instead of convert, eliminating unnecessary rotate_left and grind tactics in support_toPoly. In leadingCoeff_toPoly the explicit Array.getLast parameter is added in two simpa calls to match a change in Raw.getLast_toImpl. Finally the C_mul_X_pow_toPoly theorem is rewritten to first apply C_mul_X_pow_eq_monomial and then monomial_toPoly, rather than using convert with a bidirectional equality.
• lakefile.lean: Updated the required mathlib dependency from version v4.30.0 to v4.31.0, ensuring project compatibility with the latest library updates and gaining access to new lemmas, definitions, and bug fixes included in that release.
• lean-toolchain: The lean-toolchain file was updated to pin the project to Lean v4.31.0 instead of the previous v4.30.0. This changes the version of the Lean compiler and its standard library used in the project, which may introduce new features, bug fixes, and potential breaking changes that could require adjustments in other files.
• tests/CompPolyTests/Univariate/Linear.lean: Summary unavailable — error: 1 validation error for _ProseSummary
  Invalid JSON: expected value at line 1 column 1 [type=json_invalid, input_value='The proofs in tests/Com...admit` are introduced.', input_type=str]
  For further information visit https://errors.pydantic.dev/2.13/v/json_invalid
• 1 file(s) filtered as noise (lockfiles, generated, or trivial): lake-manifest.json

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Last updated: 2026-07-02 17:07 UTC.

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🤖 AI Review

Overall Summary:
An error occurred while synthesizing the summary: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

---

Errors during review:

• Agent B failed for CompPoly/Bivariate/Deriv.lean
• Agent B failed for CompPoly/Bivariate/Factor.lean
• Agent B failed for CompPoly/Bivariate/FactorMonic.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/CoreCorrectness.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/FilterCorrectness.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/Basic.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/Correctness.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/Dense/Algorithm.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/Dense/Correctness.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Algorithm.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Basic.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Basis.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Combinations.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Common.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Completeness.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Divisibility.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Normalization.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Rows.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Selection.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Soundness.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/PolynomialCorrectness.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Root/Alekhnovich/Algorithm.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Root/Alekhnovich/Correctness.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Root/Common.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Root/Common/Lemmas.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Root/FieldRoots/KoalaBear.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Root/RothRuckenstein/Algorithm.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Root/RothRuckenstein/Correctness.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Root/RothRuckenstein/Lemmas.lean
• Agent B failed for CompPoly/Bivariate/GuruswamiSudan/Root/ShiftedSubstitution/Lemmas.lean
• Agent B failed for CompPoly/Bivariate/ToPoly.lean
• Agent B failed for CompPoly/Data/Array/Lemmas.lean
• Agent B failed for CompPoly/Data/ExtTreeMap/DTreeMap.lean
• Agent B failed for CompPoly/Data/Fin/BigOperators.lean
• Agent B failed for CompPoly/Data/List/Lemmas.lean
• Agent B failed for CompPoly/Data/Nat/Bitwise.lean
• Agent B failed for CompPoly/Data/Polynomial/Frobenius.lean
• Agent B failed for CompPoly/Data/Polynomial/MonomialBasis.lean
• Agent B failed for CompPoly/Fields/BabyBear.lean
• Agent B failed for CompPoly/Fields/Binary/AdditiveNTT/Correctness.lean
• Agent B failed for CompPoly/Fields/Binary/AdditiveNTT/Impl.lean
• Agent B failed for CompPoly/Fields/Binary/AdditiveNTT/Intermediate.lean
• Agent B failed for CompPoly/Fields/Binary/AdditiveNTT/NovelPolynomialBasis.lean
• Agent B failed for CompPoly/Fields/Binary/Tower/Abstract/Basis.lean
• Agent B failed for CompPoly/Fields/Binary/Tower/Abstract/Core.lean
• Agent B failed for CompPoly/Fields/Binary/Tower/Concrete/Basis.lean
• Agent B failed for CompPoly/Fields/Binary/Tower/Concrete/Core.lean
• Agent B failed for CompPoly/Fields/Binary/Tower/Equiv.lean
• Agent B failed for CompPoly/Fields/Binary/Tower/Support/IrreducibilityAndTraceMapProperty.lean
• Agent B failed for CompPoly/Fields/Binary/Tower/Support/Preliminaries.lean
• Agent B failed for CompPoly/Fields/KoalaBear/Basic.lean
• Agent B failed for CompPoly/Fields/PrattCertificate.lean
• Agent B failed for CompPoly/LinearAlgebra/Dense/KernelInPlaceCorrectness.lean
• Agent B failed for CompPoly/LinearAlgebra/PolynomialMatrix/MuldersStorjohann.lean
• Agent B failed for CompPoly/LinearAlgebra/PolynomialMatrix/MuldersStorjohannCorrectness/Fast.lean
• Agent B failed for CompPoly/LinearAlgebra/PolynomialMatrix/RowSpan.lean
• Agent B failed for CompPoly/Multilinear/Basic.lean
• Agent B failed for CompPoly/Multilinear/Equiv.lean
• Agent B failed for CompPoly/Multilinear/ManyEval/Correctness.lean
• Agent B failed for CompPoly/Multilinear/TransformEquiv.lean
• Agent B failed for CompPoly/Multivariate/CMvMonomial.lean
• Agent B failed for CompPoly/Multivariate/CMvPolynomial.lean
• Agent B failed for CompPoly/Multivariate/CMvPolynomialEvalLemmas.lean
• Agent B failed for CompPoly/Multivariate/Lawful.lean
• Agent B failed for CompPoly/Multivariate/MvPolyEquiv/Instances.lean
• Agent B failed for CompPoly/Multivariate/Operations.lean
• Agent B failed for CompPoly/Multivariate/Restrict.lean
• Agent B failed for CompPoly/ToMathlib/MvPolynomial/Equiv.lean
• Agent B failed for CompPoly/ToMathlib/Polynomial/BivariateWeightedDegree.lean
• Agent B failed for CompPoly/Univariate/Barycentric.lean
• Agent B failed for CompPoly/Univariate/Basic.lean
• Agent B failed for CompPoly/Univariate/EuclideanAlgorithm.lean
• Agent B failed for CompPoly/Univariate/Linear.lean
• Agent B failed for CompPoly/Univariate/NTT/Domain.lean
• Agent B failed for CompPoly/Univariate/NTT/Interpolation.lean
• Agent B failed for CompPoly/Univariate/NTT/Kernel.lean
• Agent B failed for CompPoly/Univariate/NTTFast/Correctness/Pipeline.lean
• Agent B failed for CompPoly/Univariate/Quotient/Core.lean
• Agent B failed for CompPoly/Univariate/Raw/Context.lean
• Agent B failed for CompPoly/Univariate/Raw/Core.lean
• Agent B failed for CompPoly/Univariate/Raw/Proofs.lean
• Agent B failed for CompPoly/Univariate/Roots/Correctness.lean
• Agent B failed for CompPoly/Univariate/Roots/RootProduct.lean
• Agent B failed for CompPoly/Univariate/ToPoly/Core.lean
• Agent B failed for CompPoly/Univariate/ToPoly/Impl.lean
• Agent B failed for lakefile.lean
• Agent B failed for tests/CompPolyTests/Univariate/Linear.lean

---

🔍 **Mechanical Pre-Check Results**

Escape hatches introduced in this PR (triggers hard verdict rule):

• Large file: CompPoly/Bivariate/GuruswamiSudan/Root/Alekhnovich/Correctness.lean is 2434 lines (exceeds 1500-line lint threshold)
• Large file: CompPoly/Data/Nat/Bitwise.lean is 1535 lines (exceeds 1500-line lint threshold)
• Large file: CompPoly/Fields/Binary/AdditiveNTT/NovelPolynomialBasis.lean is 1637 lines (exceeds 1500-line lint threshold)
• Large file: CompPoly/Fields/Binary/Tower/Concrete/Core.lean is 1549 lines (exceeds 1500-line lint threshold)

🔗 **Cross-File Analysis**

Cross-file analysis failed: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/Deriv.lean`**

An error occurred while analyzing CompPoly/Bivariate/Deriv.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/Factor.lean`**

An error occurred while analyzing CompPoly/Bivariate/Factor.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/FactorMonic.lean`**

An error occurred while analyzing CompPoly/Bivariate/FactorMonic.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/CoreCorrectness.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/CoreCorrectness.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/FilterCorrectness.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/FilterCorrectness.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/Basic.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/Basic.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/Correctness.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/Correctness.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/Dense/Algorithm.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/Dense/Algorithm.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/Dense/Correctness.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/Dense/Correctness.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Algorithm.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Algorithm.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Basic.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Basic.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Basis.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Basis.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Combinations.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Combinations.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Common.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Common.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Completeness.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Completeness.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Divisibility.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Divisibility.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Normalization.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Normalization.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Rows.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Rows.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Selection.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Selection.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Soundness.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Soundness.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/PolynomialCorrectness.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/PolynomialCorrectness.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Root/Alekhnovich/Algorithm.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Root/Alekhnovich/Algorithm.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Root/Alekhnovich/Correctness.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Root/Alekhnovich/Correctness.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Root/Common.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Root/Common.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Root/Common/Lemmas.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Root/Common/Lemmas.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Root/FieldRoots/KoalaBear.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Root/FieldRoots/KoalaBear.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Root/RothRuckenstein/Algorithm.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Root/RothRuckenstein/Algorithm.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Root/RothRuckenstein/Correctness.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Root/RothRuckenstein/Correctness.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Root/RothRuckenstein/Lemmas.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Root/RothRuckenstein/Lemmas.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/GuruswamiSudan/Root/ShiftedSubstitution/Lemmas.lean`**

An error occurred while analyzing CompPoly/Bivariate/GuruswamiSudan/Root/ShiftedSubstitution/Lemmas.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Bivariate/ToPoly.lean`**

An error occurred while analyzing CompPoly/Bivariate/ToPoly.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Data/Array/Lemmas.lean`**

An error occurred while analyzing CompPoly/Data/Array/Lemmas.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Data/ExtTreeMap/DTreeMap.lean`**

An error occurred while analyzing CompPoly/Data/ExtTreeMap/DTreeMap.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Data/Fin/BigOperators.lean`**

An error occurred while analyzing CompPoly/Data/Fin/BigOperators.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Data/List/Lemmas.lean`**

An error occurred while analyzing CompPoly/Data/List/Lemmas.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Data/Nat/Bitwise.lean`**

An error occurred while analyzing CompPoly/Data/Nat/Bitwise.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Data/Polynomial/Frobenius.lean`**

An error occurred while analyzing CompPoly/Data/Polynomial/Frobenius.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Data/Polynomial/MonomialBasis.lean`**

An error occurred while analyzing CompPoly/Data/Polynomial/MonomialBasis.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/BabyBear.lean`**

An error occurred while analyzing CompPoly/Fields/BabyBear.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/Binary/AdditiveNTT/Correctness.lean`**

An error occurred while analyzing CompPoly/Fields/Binary/AdditiveNTT/Correctness.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/Binary/AdditiveNTT/Impl.lean`**

An error occurred while analyzing CompPoly/Fields/Binary/AdditiveNTT/Impl.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/Binary/AdditiveNTT/Intermediate.lean`**

An error occurred while analyzing CompPoly/Fields/Binary/AdditiveNTT/Intermediate.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/Binary/AdditiveNTT/NovelPolynomialBasis.lean`**

An error occurred while analyzing CompPoly/Fields/Binary/AdditiveNTT/NovelPolynomialBasis.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/Binary/Tower/Abstract/Basis.lean`**

An error occurred while analyzing CompPoly/Fields/Binary/Tower/Abstract/Basis.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/Binary/Tower/Abstract/Core.lean`**

An error occurred while analyzing CompPoly/Fields/Binary/Tower/Abstract/Core.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/Binary/Tower/Concrete/Basis.lean`**

An error occurred while analyzing CompPoly/Fields/Binary/Tower/Concrete/Basis.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/Binary/Tower/Concrete/Core.lean`**

An error occurred while analyzing CompPoly/Fields/Binary/Tower/Concrete/Core.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/Binary/Tower/Equiv.lean`**

An error occurred while analyzing CompPoly/Fields/Binary/Tower/Equiv.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/Binary/Tower/Support/IrreducibilityAndTraceMapProperty.lean`**

An error occurred while analyzing CompPoly/Fields/Binary/Tower/Support/IrreducibilityAndTraceMapProperty.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/Binary/Tower/Support/Preliminaries.lean`**

An error occurred while analyzing CompPoly/Fields/Binary/Tower/Support/Preliminaries.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/KoalaBear/Basic.lean`**

An error occurred while analyzing CompPoly/Fields/KoalaBear/Basic.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Fields/PrattCertificate.lean`**

An error occurred while analyzing CompPoly/Fields/PrattCertificate.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/LinearAlgebra/Dense/KernelInPlaceCorrectness.lean`**

An error occurred while analyzing CompPoly/LinearAlgebra/Dense/KernelInPlaceCorrectness.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/LinearAlgebra/PolynomialMatrix/MuldersStorjohann.lean`**

An error occurred while analyzing CompPoly/LinearAlgebra/PolynomialMatrix/MuldersStorjohann.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/LinearAlgebra/PolynomialMatrix/MuldersStorjohannCorrectness/Fast.lean`**

An error occurred while analyzing CompPoly/LinearAlgebra/PolynomialMatrix/MuldersStorjohannCorrectness/Fast.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/LinearAlgebra/PolynomialMatrix/RowSpan.lean`**

An error occurred while analyzing CompPoly/LinearAlgebra/PolynomialMatrix/RowSpan.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Multilinear/Basic.lean`**

An error occurred while analyzing CompPoly/Multilinear/Basic.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Multilinear/Equiv.lean`**

An error occurred while analyzing CompPoly/Multilinear/Equiv.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Multilinear/ManyEval/Correctness.lean`**

An error occurred while analyzing CompPoly/Multilinear/ManyEval/Correctness.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Multilinear/TransformEquiv.lean`**

An error occurred while analyzing CompPoly/Multilinear/TransformEquiv.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Multivariate/CMvMonomial.lean`**

An error occurred while analyzing CompPoly/Multivariate/CMvMonomial.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Multivariate/CMvPolynomial.lean`**

An error occurred while analyzing CompPoly/Multivariate/CMvPolynomial.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Multivariate/CMvPolynomialEvalLemmas.lean`**

An error occurred while analyzing CompPoly/Multivariate/CMvPolynomialEvalLemmas.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Multivariate/Lawful.lean`**

An error occurred while analyzing CompPoly/Multivariate/Lawful.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Multivariate/MvPolyEquiv/Instances.lean`**

An error occurred while analyzing CompPoly/Multivariate/MvPolyEquiv/Instances.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Multivariate/Operations.lean`**

An error occurred while analyzing CompPoly/Multivariate/Operations.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Multivariate/Restrict.lean`**

An error occurred while analyzing CompPoly/Multivariate/Restrict.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/ToMathlib/MvPolynomial/Equiv.lean`**

An error occurred while analyzing CompPoly/ToMathlib/MvPolynomial/Equiv.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/ToMathlib/Polynomial/BivariateWeightedDegree.lean`**

An error occurred while analyzing CompPoly/ToMathlib/Polynomial/BivariateWeightedDegree.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/Barycentric.lean`**

An error occurred while analyzing CompPoly/Univariate/Barycentric.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/Basic.lean`**

An error occurred while analyzing CompPoly/Univariate/Basic.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/EuclideanAlgorithm.lean`**

An error occurred while analyzing CompPoly/Univariate/EuclideanAlgorithm.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/Linear.lean`**

An error occurred while analyzing CompPoly/Univariate/Linear.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/NTT/Domain.lean`**

An error occurred while analyzing CompPoly/Univariate/NTT/Domain.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/NTT/Interpolation.lean`**

An error occurred while analyzing CompPoly/Univariate/NTT/Interpolation.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/NTT/Kernel.lean`**

An error occurred while analyzing CompPoly/Univariate/NTT/Kernel.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/NTTFast/Correctness/Pipeline.lean`**

An error occurred while analyzing CompPoly/Univariate/NTTFast/Correctness/Pipeline.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/Quotient/Core.lean`**

An error occurred while analyzing CompPoly/Univariate/Quotient/Core.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/Raw/Context.lean`**

An error occurred while analyzing CompPoly/Univariate/Raw/Context.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/Raw/Core.lean`**

An error occurred while analyzing CompPoly/Univariate/Raw/Core.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/Raw/Proofs.lean`**

An error occurred while analyzing CompPoly/Univariate/Raw/Proofs.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/Roots/Correctness.lean`**

An error occurred while analyzing CompPoly/Univariate/Roots/Correctness.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/Roots/RootProduct.lean`**

An error occurred while analyzing CompPoly/Univariate/Roots/RootProduct.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/ToPoly/Core.lean`**

An error occurred while analyzing CompPoly/Univariate/ToPoly/Core.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not valid. Please pass a valid API key.', 'status': 'INVALID_ARGUMENT', 'details': [{'@type': 'type.googleapis.com/google.rpc.ErrorInfo', 'reason': 'API_KEY_INVALID', 'domain': 'googleapis.com', 'metadata': {'service': 'generativelanguage.googleapis.com'}}, {'@type': 'type.googleapis.com/google.rpc.LocalizedMessage', 'locale': 'en-US', 'message': 'API key not valid. Please pass a valid API key.'}]}}

📄 **Review for `CompPoly/Univariate/ToPoly/Impl.lean`**

An error occurred while analyzing CompPoly/Univariate/ToPoly/Impl.lean: 400 INVALID_ARGUMENT. {'error': {'code': 400, 'message': 'API key not val

---

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[github-actions]

Build Timing Report

• Commit: 685eef5
• Message: Merge 9546a5f into d458e5c
• Ref: dhsorens/v4.31.0-update
• Comparison baseline: d458e5c from merge-base on master.
• Measured on ubuntu-latest with /usr/bin/time -p.
• Commands: clean build rm -rf .lake/build && lake build; warm rebuild lake build; test path lake test.

Measurement	Baseline (s)	Current (s)	Delta (s)	Status
Clean build	371.66	346.49	-25.17	ok
Warm rebuild	1.36	1.28	-0.08	ok
Test path	34.16	31.36	-2.80	ok

Incremental Rebuild Signal

• Warm rebuild saved 345.21s vs clean (270.70x faster).

This compares a clean project build against an incremental rebuild in the same CI job; it is a lightweight variability signal, not a full cross-run benchmark.

Slowest Current Clean-Build Files

Showing 20 slowest current targets, with comparison against the selected baseline when available.

Current (s)	Baseline (s)	Delta (s)	Path
45.00	47.00	-2.00	CompPoly/Fields/Binary/BF128Ghash/XPowTwoPowModCertificate.lean
43.00	43.00	+0.00	CompPoly/Fields/Binary/Tower/Abstract/Basis.lean
35.00	41.00	-6.00	CompPoly/Univariate/DivisionCorrectness.lean
29.00	26.00	+3.00	CompPoly/Fields/Binary/BF128Ghash/Impl.lean
28.00	25.00	+3.00	CompPoly/Bivariate/Deriv.lean
23.00	23.00	+0.00	CompPoly/Bivariate/GuruswamiSudan/Root/RothRuckenstein/Correctness.lean
21.00	23.00	-2.00	CompPoly/Bivariate/ToPoly.lean
17.00	21.00	-4.00	CompPoly/Univariate/Raw/Proofs.lean
16.00	17.00	-1.00	CompPoly/Univariate/NTTFast/Correctness/Radix4DIT.lean
16.00	15.00	+1.00	CompPoly/Fields/Binary/Tower/Support/Preliminaries.lean
15.00	17.00	-2.00	CompPoly/Univariate/NTTFast/Correctness/Radix4DIF.lean
15.00	12.00	+3.00	CompPoly/Bivariate/GuruswamiSudan/Interpolation/LeeOSullivan/Correctness/Divisibility.lean
14.00	12.00	+2.00	CompPoly/Fields/KoalaBear/Fast.lean
14.00	13.00	+1.00	CompPoly/Fields/Binary/AdditiveNTT/Intermediate.lean
14.00	12.00	+2.00	CompPoly/Univariate/ReedSolomon/GaoCorrectness.lean
13.00	13.00	+0.00	CompPoly/Bivariate/GuruswamiSudan/Root/Alekhnovich/Correctness.lean
11.00	11.00	+0.00	CompPoly/Univariate/Basic.lean
11.00	14.00	-3.00	CompPoly/Univariate/NTT/Forward.lean
11.00	11.00	+0.00	CompPoly/Fields/Binary/AdditiveNTT/Domain.lean
11.00	31.00	-20.00	CompPoly/Bivariate/Factor.lean