Mathlib Map

Theorems · Definition · ring theory

RingEquiv.toEquiv

{R : Type u_7} →
  {S : Type u_8} → [inst : Mul R] → [inst_1 : Mul S] → [inst_2 : Add R] → [inst_3 : Add S] → R ≃+* S → R ≃ S

The "plain" equivalence of types underlying an equivalence of (semi)rings.

Defined in
Mathlib.Algebra.Ring.Equiv
Cited by
101 results in Mathlib
Foundations
Depth 2 from the axioms, rests on 5 definitions · uses no axioms
Assumes
MulMulAddAdd

Around this declaration

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Cites2

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

  • Equivstatement · cited by 8,337
  • RingEquivstatement and proof · cited by 1,147

Cited by214

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 214.