Theorems · Theorem · ring theory

StarAlgEquiv.toStarAlgHom_symm_ofStarAlgHom

∀ {R : Type u_1} {A₁ : Type u_2} {A₂ : Type u_3} [inst : CommSemiring R] [inst_1 : Semiring A₁] [inst_2 : Semiring A₂]
  [inst_3 : Algebra R A₁] [inst_4 : Algebra R A₂] [inst_5 : Star A₁] [inst_6 : Star A₂] (f : A₁ →⋆ₐ[R] A₂)
  (g : A₂ →⋆ₐ[R] A₁) (h₁ : g.comp f = StarAlgHom.id R A₁) (h₂ : f.comp g = StarAlgHom.id R A₂),
  (StarAlgEquiv.ofStarAlgHom f g h₁ h₂).symm.toStarAlgHom = g

Defined in

Mathlib.Algebra.Star.StarAlgHom

Cited by

0 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraStarStar