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Theorems · Definition · group theory

Subsemigroup.centerCongr

{M : Type u_2} →
  {N : Type u_1} → [inst : Mul M] → [inst_1 : Mul N] → M ≃* N → ↥(Subsemigroup.center M) ≃* ↥(Subsemigroup.center N)

The center of isomorphic magmas are isomorphic.

Defined in
Mathlib.GroupTheory.Submonoid.Center
Cited by
2 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MulMul

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