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Author SHA1 Message Date
Leonardo de Moura
9f4db470c4
feat: add permutation theorem support to Sym.simp (#13046)
This PR prevents `Sym.simp` from looping on permutation theorems like
`∀ x y, x + y = y + x`.

- Add `perm : Bool` field to `Theorem`
- Add `isPerm` that checks if LHS and RHS have the same structure with
  pattern variables (de Bruijn indices) rearranged via a consistent
  bijection. Uses `ReaderT` (offset for binder entry), `StateT`
  (forward/backward maps), `ExceptT` (failure).
- Compute `perm` in `mkTheoremFromDecl` / `mkTheoremFromExpr`
- In `Theorem.rewrite`, when `perm` is true, only apply the rewrite if
  the result is strictly less than the input (using `acLt`)
- Tests include the classic AC normalization stress test with
  `add_comm`, `add_assoc`, `add_left_comm`

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Co-authored-by: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-03-23 00:22:36 +00:00