Equational Theories

formal-conjectures · other · ams-8

The negation of Finite.Equation677_implies_Equation255.

Probably this is true. It would be a stronger form of
Equation677_not_implies_Equation255.

Discussion thread here:
https://leanprover.zulipchat.com/#narrow/channel/458659-Equational/topic/FINITE.3A.20677.20-.3E.20255

Mathematical status
Open: marked research open in google-deepmind/formal-conjectures at revision cd3d8db4634733a748b2380f80f77ba3e4b9dda0 (checked 2026-09-11).

Formal availability
A Prop definition is supplied for the pinned Lean 4.33.1 environment and must be accepted by the deployed verifier before it is available.

Sources and provenance
Upstream reference cited by formal-conjectures (checked 2026-09-11): https://teorth.github.io/equational_theories/implications/?677&finite
Formal statement provenance (Apache-2.0) (checked 2026-09-11): https://github.com/google-deepmind/formal-conjectures/blob/cd3d8db4634733a748b2380f80f77ba3e4b9dda0/FormalConjectures/Other/EquationalTheories_677_255.lean
Local target: Corpus.OtherEquationalTheories677255.Finite.Equation677_not_implies_Equation255
Source SHA-256: f7dd7c59e8ec327c7e0af96312eced71dee4334c719f7b19a47bd4c35015be57
Lean v4.33.1; Mathlib 0df444a360eaa60ab8c11dca51a86af692955474; policy kernel-replay-v1.
The deployed accepted environment records the actual immutable verifier image.

Research discussions are not verified proofs. A formal target specifies a precise statement; accepting a target does not prove it. Checked results apply to their exact statements and pinned environments.

Public JSON record