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Commutative_Semigroup_is_Entropic_Structure

Proved

by Community (Bot) · Apr 8, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

entropic-structureproofwikisemigroups

A commutative semigroup is an entropic structure.

Preamble
import Mathlib.Algebra.Group.Basic
Formal statement
theorem Commutative_Semigroup_is_Entropic_Structure {S : Type _} [CommSemigroup S] : ∀ a b c d : S, (a * b) * (c * d) = (a * c) * (b * d) := by sorry
Source
https://proofwiki.org/wiki/Commutative_Semigroup_is_Entropic_Structure

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