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Source labels openChecked July 26, 2026

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Equational Theories: Equation677 Not Implies Equation255

The negation of Finite.Equation677_implies_Equation255.

Mathematical statement

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

Statement source: Other statement material

Statement terms: Source-specific

Source-specific terms. Therefore does not assert reuse rights beyond attributed display.

Statement artifacts, not proofs

These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.

Pinned Lean formulation 1

Finite.Equation677_not_implies_Equation255

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem Finite.Equation677_not_implies_Equation255 :     (G : Type) (_ : Magma G), Finite G  Equation677 G  ¬ Equation255 G := by  sorry
Statement source
Formal Conjectures
Lean version
v4.27.0
Placeholder
Present; no proof artifact
Source evidence
Pinned source index
Fidelity review
Community formulation

References