Theorems · Theorem · ring theory

StarAlgEquiv.ofInjective_symm_apply

∀ {R : Type u_2} {A : Type u_3} {B : Type u_4} [inst : CommSemiring R] [inst_1 : StarRing R] [inst_2 : Semiring A]
  [inst_3 : Algebra R A] [inst_4 : StarRing A] [inst_5 : Semiring B] [inst_6 : Algebra R B] [inst_7 : StarRing B]
  [inst_8 : StarModule R B] (f : A →⋆ₐ[R] B) (hf : Function.Injective ⇑f) (a : ↥(↑f).range),
  (StarAlgEquiv.ofInjective f hf).symm a = (AlgEquiv.ofInjective (↑f) hf).invFun a

Defined in

Mathlib.Algebra.Star.Subalgebra

Cited by

0 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringStarRingSemiringAlgebraStarRingSemiringAlgebraStarRingStarModule