Theorems · Theorem · group theory
Submonoid.centerCongr_apply_coe
∀ {M : Type u_2} {N : Type u_1} [inst : MulOneClass M] [inst_1 : MulOneClass N] (e : M ≃* N)
(r : ↥(Subsemigroup.center M)), ↑((Submonoid.centerCongr e) r) = e ↑r- Defined in
- Mathlib.GroupTheory.Submonoid.Center
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulOneClassMulOneClass
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Submonoidstatement · cited by 3,086
- MulEquivstatement and proof · cited by 1,142
- MulOneClassstatement and proof · cited by 1,018
- Subsemigroupstatement · cited by 323
- Subsemigroup.centerstatement and proof · cited by 38
- Submonoid.centerstatement · cited by 24
- Submonoid.centerCongrstatement and proof · cited by 2
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