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proof(p3.2): A16 — typed ProgressiveCheckW + progressive-order monotonicity (#158)
## Summary Closes the deferred half of PROOF-NEEDS §P3.2 — the "progressive-order monotonicity under a typed `ProgressiveCheck`" claim that the 2026-04-18 A8 banner explicitly left as future work: > the stronger "progressive-order" claim requires redesigning `ProgressiveCheck` with a typed `level = S prevLevel` index and is left as future work. A16 lands that redesign as a **purely additive** `ProgressiveCheckW` alongside the legacy `ProgressiveCheck`, built on top of the standards#130 `LevelAttestationW` family (already in tree). Skipping levels (advancing L1 → L5 in one step) and out-of-order attestations (attaching `AttestL3W` to a `ProgressiveCheckW 5`) are now **type errors** — they cannot construct. ## What lands ### `src/abi/TypedWasm/ABI/Proofs.idr` §A16 (~150 LOC appended) \`\`\`idris data ProgressiveCheckW : (highestLevel : Nat) -> Type where StartL1W : LevelAttestationW 1 -> ProgressiveCheckW 1 AdvanceW : (n : Nat) -> ProgressiveCheckW n -> LevelAttestationW (S n) -> ProgressiveCheckW (S n) data VisitedAt : (m : Nat) -> ProgressiveCheckW n -> Type where VAStartW : (att : LevelAttestationW 1) -> VisitedAt 1 (StartL1W att) VAHeadW : (n : Nat) -> (prev : ProgressiveCheckW n) -> (att : LevelAttestationW (S n)) -> VisitedAt (S n) (AdvanceW n prev att) VATailW : VisitedAt m prev -> VisitedAt m (AdvanceW n prev att) progressiveOrderW : (check : ProgressiveCheckW n) -> (m : Nat) -> LT 0 m -> LTE m n -> VisitedAt m check \`\`\` Plus: - `lteSuccCases : {m, n : Nat} -> LTE m (S n) -> Either (m = S n) (LTE m n)` — decidable LTE case-split helper used by the recursion. - `chainAlwaysVisitsL1` — specialised corollary for the common "L1 is the entry point" guarantee. - `forgetProgressiveCheckW : ProgressiveCheckW n -> ProgressiveCheck` — index-erasing bridge to the legacy untyped chain, so downstream consumers can still feed `buildCertificate` via the typed API. ### `PROOF-NEEDS.md` - New \`RECONCILIATION 2026-06-03 (A16 — P3.2 progressive-order half closed)\` banner at the top. - §P3.2 itself now records the closure with the typed-chain signature, the bridge, and the "Purely additive" / "Zero escape hatches" disclaimers. - 3-line owner-line header normalisation (incidental hook compliance — same micro-pattern as PR #153 / #155). ## Purely additive The legacy `ProgressiveCheck`, `LevelAchievedIn`, `composeAchievedL/R`, and the entire `buildCertificate` pipeline are untouched. No external caller of `ProgressiveCheck` / `StartL1` / `Advance` exists in `src/` / `examples/` / `tests/` (grep-verified before landing — the only signature reference is in `tests/proof/regression.mjs`), so the additivity preserves the typed-wasm public surface. ## Stacking This PR is **stacked on #152** (`proof/epistemic-fresh-pin-102`) — same reason as PR #155: the HEAD build break #152 fixes is required for the package build to pass. Siblings on the same base. When #152 merges, this PR will rebase forward to `main` as a 1-commit fast-forward. ## Test plan - [x] Whole-package build rc=0, 22/22 modules, 0 errors (only pre-existing shadowing warnings in unrelated modules — Epistemic, Tropical, Choreography). - [x] `idris2 --check src/abi/TypedWasm/ABI/Proofs.idr` clean. - [x] No `believe_me` / `assert_total` / `postulate` / `sorry` / `Admitted` / `assert_smaller` introduced. - [x] `%default total` preserved across the arc. - [x] No SPDX-License-Identifier line changed in any file. Owner-attribution normalisation only on `PROOF-NEEDS.md` (3-line header addition — same micro-pattern as #153 / #155). - [ ] CI green on stacked head. ## Cross-references - Refs PROOF-NEEDS §P3.2 (the deferred half). - Refs standards#130 — the `LevelAttestationW` family this PR builds on. - Refs #102, #152, #153, #155 — companion proof work in flight (this PR is a sibling of #155 on #152). 🤖 Generated with [Claude Code](https://claude.com/claude-code)
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