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docs(proof-debt): refresh stale variance bullet — resolved by wired EchoVariance (#243)
The 2026-06-16 ground-truth-audit bullet said the monad/comonad/adjunction variance "remains genuinely open." It was settled four days later by the WIRED `EchoVariance.agda` (#243, 2026-06-20; in All.agda, --safe --without-K, zero postulates): echo is a graded MONAD of accumulation + a section/retraction adjunction exact on the grade-0 fibre, and is NOT a graded comonad (`no-bare-recovery` is the obstruction; sharpens R-2026-05-18 from "withdrawn" to "decided against"). The bullet now preserves the dated audit observation (the `experimental/echo-additive/` track was orphaned + the question open AT AUDIT TIME) and records the post-audit resolution, citing the wired `EchoVariance` + `docs/echo-types/variance-resolution.adoc`. Docs-only; kernel-guard PASS. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_018CaSgNjNURC7ocsyjYh9We
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docs/proof-debt.md

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@@ -140,16 +140,26 @@ ledger above.
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and `Ordinal/Buchholz/Fidelity.agda` (d) — are guardrail-exempt,
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`--without-K`-only, and imported by no `All.agda`, so the `--safe`
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kernel cone depends on neither. Nothing slipped into the wired layer.
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- **⚠ Variance is NOT a proven result.** The `experimental/echo-additive/`
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track (`GradedComonad` / `GradedMonad` / `GradedAdjunction` /
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`VarianceGate.agda`) is present on `main` but **orphaned** (in no
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`All.agda`, not CI-verified), and `VarianceGate.agda` self-declares
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"This file contains NO proven theorems … OBLIGATION comments" + variance
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**RETRACTED R-2026-05-18**. It typechecks `--safe` only because the
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obligations are comments. **Do not cite the monad / comonad / adjunction
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variance question as settled** — it remains genuinely open. Build instead
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on the wired `Echo` / `EchoResidue`, `EchoGradedComonad` (coassoc/counit),
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the composition isos, and `DyadicEchoBridge`.
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- **⚠ Variance was open AT AUDIT TIME; RESOLVED 2026-06-20.** As of this
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audit (2026-06-16) the only variance material on `main` was the
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`experimental/echo-additive/` track (`GradedComonad` / `GradedMonad` /
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`GradedAdjunction` / `VarianceGate.agda`) — **orphaned** (in no
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`All.agda`, not CI-verified; `VarianceGate.agda` self-declares "This file
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contains NO proven theorems … OBLIGATION comments", variance **RETRACTED
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R-2026-05-18**), so the monad / comonad / adjunction question was genuinely
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open *then*. It was **settled four days later by the WIRED
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`EchoVariance.agda`** (#243, 2026-06-20 — in `All.agda`, `--safe
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--without-K`, zero postulates, pinned in `Smoke.agda`): echo is a graded
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**monad of accumulation** (`accumulate = Echo-comp-iso-from`) with a
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section/retraction **adjunction exact on the grade-0 fibre**
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(`recoverable-fibre = A↔ΣEcho`), and is **NOT a graded comonad**
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(`no-bare-recovery` via `no-section-of-collapsing-map` is the obstruction;
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sharpens `R-2026-05-18` from "graded comonad withdrawn" to "decided
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against"). Cite the WIRED `EchoVariance` for the verdict; the orphaned
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`experimental/echo-additive/` track is the retired earlier attempt. See
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`docs/echo-types/variance-resolution.adoc`. Build on the wired `Echo` /
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`EchoResidue`, `EchoVariance`, `EchoGradedComonad` (coassoc/counit), the
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composition isos, and `DyadicEchoBridge`.
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- **Env gotcha (fix before handoff).** A *dangling* libraries config
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(nix-store name mismatch + a non-existent `…/absolute-zero` path) causes
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**false "library name not found" failures** under the default config.

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