commMonoid — Mathlib

English

Equivalences preserve membership in the center via a module of conjugation.

Русский

Эквивалентности сохраняют членство в центре через сопряжение.

LaTeX

$$For e, x, e x ∈ center N ↔ x ∈ center M$$

Lean4

/-- The center of a monoid is commutative. -/
@[to_additive]
instance commMonoid : CommMonoid (center M) :=
  { (center M).toMonoid, Subsemigroup.center.commSemigroup with }
    -- no instance diamond, unlike the primed version

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