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Theorems · Theorem · group theory

MonoidHom.toMulEquiv_symm_apply

∀ {M : Type u_4} {N : Type u_5} [inst : MulOneClass M] [inst_1 : MulOneClass N] (f : M →* N) (g : N →* M)
  (h₁ : g.comp f = MonoidHom.id M) (h₂ : f.comp g = MonoidHom.id N), ⇑(f.toMulEquiv g h₁ h₂).symm = ⇑g
Defined in
Mathlib.Algebra.Group.Equiv.Defs
Cited by
1 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
MulOneClassMulOneClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Perfection.coeff_zero_symm_quotientMulEquiv · cited by 0Perfection.coeff_zero_sym…DFunLike.coe · cited by 62936DFunLike.coeMonoidHom · cited by 3629MonoidHomMulEquiv · cited by 1142MulEquivMulOneClass · cited by 1018MulOneClassMulEquiv.symm · cited by 482MulEquiv.symmMonoidHom.comp · cited by 469MonoidHom.compMonoidHom.id · cited by 323MonoidHom.idMonoidHom.toMulEquiv · cited by 3MonoidHom.toMulEquivMonoidHom.toMulEquiv_symm_app…CITED BYCITES

Cites8

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Cited by1

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