Theorems · Theorem · ring theory

BialgEquiv.ofBialgHom_symm

∀ {R : Type u} {A : Type v} {B : Type w} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Semiring B]
  [inst_3 : Algebra R A] [inst_4 : Algebra R B] [inst_5 : CoalgebraStruct R A] [inst_6 : CoalgebraStruct R B]
  (f : A →ₐc[R] B) (g : B →ₐc[R] A) (h₁ : f.comp g = BialgHom.id R B) (h₂ : g.comp f = BialgHom.id R A),
  (BialgEquiv.ofBialgHom f g h₁ h₂).symm = BialgEquiv.ofBialgHom g f h₂ h₁

Defined in

Mathlib.RingTheory.Bialgebra.Equiv

Cited by

0 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraCoalgebraStructCoalgebraStruct