Theorems · Inductive type · ring theory

AlgEquivClass

(F : Type u_1) →
  (R : outParam (Type u_2)) →
    (A : outParam (Type u_3)) →
      (B : outParam (Type u_4)) →
        [inst : CommSemiring R] →
          [inst_1 : Semiring A] → [inst_2 : Semiring B] → [Algebra R A] → [Algebra R B] → [EquivLike F A B] → Prop

AlgEquivClass F R A B states that F is a type of algebra structure preserving equivalences. You should extend this class when you extend AlgEquiv.

Defined in

Mathlib.Algebra.Algebra.Equiv

Cited by

17 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraEquivLike