Theorems · Theorem · group theory
abelianizationCongr_trans
∀ {G : Type u} [inst : Group G] {H : Type v} [inst_1 : Group H] {I : Type v} [inst_2 : Group I] (e : G ≃* H)
(e₂ : H ≃* I), e.abelianizationCongr.trans e₂.abelianizationCongr = (e.trans e₂).abelianizationCongr- Defined in
- Mathlib.GroupTheory.Abelianization.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- MulEquivstatement and proof · cited by 1,142
- MulEquiv.toMonoidHomproof · cited by 126
- MulEquiv.transstatement and proof · cited by 53
- Abelianizationstatement · cited by 32
- MulEquiv.toMonoidHom_injectiveproof · cited by 6
- MulEquiv.abelianizationCongrstatement and proof · cited by 4
- Abelianization.hom_extproof · cited by 4
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