Theorems · Definition · ring theory

StarAlgEquivClass.toStarAlgEquiv

{F : Type u_1} →
  {R : Type u_2} →
    {A : Type u_3} →
      {B : Type u_4} →
        [inst : Add A] →
          [inst_1 : Mul A] →
            [inst_2 : SMul R A] →
              [inst_3 : Star A] →
                [inst_4 : Add B] →
                  [inst_5 : Mul B] →
                    [inst_6 : SMul R B] →
                      [inst_7 : Star B] →
                        [inst_8 : EquivLike F A B] →
                          [NonUnitalAlgEquivClass F R A B] → [StarHomClass F A B] → F → A ≃⋆ₐ[R] B

Turn an element of a type F satisfying AlgEquivClass F R A B and StarHomClass F A B into an actual StarAlgEquiv. This is declared as the default coercion from F to A ≃⋆ₐ[R] B.

Defined in

Mathlib.Algebra.Star.StarAlgHom

Cited by

2 results in Mathlib

Foundations

Depth 13 from the axioms · uses Quot.sound

Assumes

AddMulSMulStarAddMulSMulStarEquivLikeNonUnitalAlgEquivClassStarHomClass