Theorems · Theorem · group theory
MulEquiv.withOneCongr_trans
∀ {α : Type u} {β : Type v} {γ : Type w} [inst : Mul α] [inst_1 : Mul β] [inst_2 : Mul γ] (e₁ : α ≃* β) (e₂ : β ≃* γ),
e₁.withOneCongr.trans e₂.withOneCongr = (e₁.trans e₂).withOneCongr- Defined in
- Mathlib.Algebra.Group.WithOne.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulEquivstatement and proof · cited by 1,142
- MulEquiv.transstatement and proof · cited by 53
- WithOnestatement · cited by 49
- MulEquiv.toMulHomproof · cited by 9
- MulEquiv.toMonoidHom_injectiveproof · cited by 6
- MulEquiv.withOneCongrstatement and proof · cited by 4
- WithOne.mapMulHom_compproof · cited by 1
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