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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MulEquivstatement and proof · cited by 1,142
- MulEquiv.symmproof · cited by 482
- Subsemigroupstatement · cited by 323
- Subsemigroup.centerstatement and proof · cited by 38
Cited by4
Results whose statement or proof uses this declaration.
- NonUnitalSubsemiring.centerCongrproof · cited by 2
- Submonoid.centerCongrproof · cited by 2
- Subsemigroup.centerCongr_apply_coestatement and proof · cited by 0
- Subsemigroup.centerCongr_symm_apply_coestatement and proof · cited by 0