Theorems · Definition

Equiv.algebra

(R : Type u_1) →
  {α : Type u_2} →
    {β : Type u_3} →
      [inst : CommSemiring R] →
        (e : α ≃ β) →
          [inst_1 : Semiring β] →
            have x := e.semiring;
            [Algebra R β] → Algebra R α

Transfer Algebra across an Equiv

Defined in

Mathlib.Algebra.Algebra.TransferInstance

Cited by

4 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiring