Theorems · Definition · ring theory

AlgEquiv.toRingEquiv

{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] → (A ≃ₐ[R] B) → A ≃+* B

Defined in

Mathlib.Algebra.Algebra.Equiv

Cited by

137 results in Mathlib

Foundations

Depth 13 from the axioms, rests on 94 definitions · uses no axioms

Assumes

CommSemiringSemiringSemiringAlgebraAlgebra