Theorems · Theorem · group theory
MulHom.toMulEquiv_apply
∀ {M : Type u_4} {N : Type u_5} [inst : Mul M] [inst_1 : Mul N] (f : M →ₙ* N) (g : N →ₙ* M)
(h₁ : g.comp f = MulHom.id M) (h₂ : f.comp g = MulHom.id N), ⇑(f.toMulEquiv g h₁ h₂) = ⇑f- Defined in
- Mathlib.Algebra.Group.Equiv.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
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Cites6
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
- MulEquivstatement · cited by 1,142
- MulHomstatement and proof · cited by 299
- MulHom.compstatement and proof · cited by 44
- MulHom.idstatement and proof · cited by 15
- MulHom.toMulEquivstatement and proof · cited by 2
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