Theorems · Definition

Equiv.ringEquiv

{α : Type u_1} →
  {β : Type u_2} →
    (e : α ≃ β) →
      [inst : Add β] →
        [inst_1 : Mul β] →
          have add := e.add;
          have mul := e.mul;
          α ≃+* β

An equivalence e : α ≃ β gives a ring equivalence α ≃+* β where the ring structure on α is the one obtained by transporting a ring structure on β back along e.

Defined in

Mathlib.Algebra.Ring.TransferInstance

Cited by

4 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Quot.sound

Assumes

AddMul