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docs: enumerate CNOCategory.v hom_functor as §(d) DEBT (Phase 2b) #61

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hyperpolymath merged 1 commit into from
May 27, 2026
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docs: enumerate CNOCategory.v hom_functor as §(d) DEBT (Phase 2b) #61

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15 changes: 15 additions & 0 deletions docs/proof-debt.md
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Expand Up @@ -70,6 +70,21 @@ After Phase 1, the §(d) bucket contains only the Lean axioms and 7
Idris2 postulates that have not yet been triaged. Coq markers are
no longer in §(d).

### Coq — provable, awaiting proof

- `proofs/coq/category/CNOCategory.v:323` — `hom_functor`
- **Owner**: @hyperpolymath
- **Plan**: replace `Axiom hom_functor : ... Functor C C` with the
proper Yoneda construction `Functor C SetCategory`. The
file's leading comment (L312-322) records why this is currently
axiomatised: (1) `yoneda_cno` is already proven without it,
(2) `SetCategory` needs universe-polymorphism machinery,
(3) the conceptual claim stands.
- **Triage**: classified DISCHARGE in `docs/proof-debt-triage.md`
(Phase 1, #58).
- **Deadline**: INDEFINITE (blocked on `SetCategory` instance —
universe-polymorphism scaffolding precondition).

### Lean — provable, awaiting proof

- `proofs/lean4/LambdaCNO.lean:183` — `subst_closed_term`
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