Theorems · Theorem · group theory

MonoidHom.inverse_apply

∀ {A : Type u_10} {B : Type u_11} [inst : Monoid A] [inst_1 : Monoid B] (f : A →* B) (g : B → A)
  (h₁ : Function.LeftInverse g ⇑f) (h₂ : Function.RightInverse g ⇑f) (a : B), (f.inverse g h₁ h₂) a = g a

Defined in: Mathlib.Algebra.Group.Hom.Defs
Cited by: 0 results in Mathlib
Foundations: Depth 15 from the axioms · uses no axioms
Assumes: Monoid Monoid

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DFunLike.coestatement and proof · cited by 62,936
Monoidstatement and proof · cited by 3,887
MonoidHomstatement and proof · cited by 3,629
MonoidHom.inversestatement and proof · cited by 1

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