Theorems · Definition · ring theory

RingEquivClass.toRingEquiv

{F : Type u_1} →
  {α : Type u_2} →
    {β : Type u_3} →
      [inst : Mul α] →
        [inst_1 : Add α] →
          [inst_2 : Mul β] → [inst_3 : Add β] → [inst_4 : EquivLike F α β] → [RingEquivClass F α β] → F → α ≃+* β

Turn an element of a type F satisfying RingEquivClass F α β into an actual RingEquiv. This is declared as the default coercion from F to α ≃+* β.

Defined in

Mathlib.Algebra.Ring.Equiv

Cited by

12 results in Mathlib

Foundations

Depth 12 from the axioms · uses Quot.sound

Assumes

MulAddMulAddEquivLikeRingEquivClass