Mathlib Map

Theorems · Definition · ring theory

AlgEquiv.toEquiv

{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
65 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
CommSemiringSemiringSemiringAlgebraAlgebra

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Semiringstatement and proof · cited by 13,802
  • Algebrastatement and proof · cited by 11,388
  • CommSemiringstatement and proof · cited by 10,911
  • Equivstatement · cited by 8,337
  • AlgEquivstatement and proof · cited by 1,681

Cited by84

Results whose statement or proof uses this declaration.