Theorems · Theorem · ring theory

AddMonoidAlgebra.opRingEquiv_apply

∀ {R : Type u_1} {M : Type u_2} [inst : Semiring R] [inst_1 : Add M] (a : (AddMonoidAlgebra R M)ᵐᵒᵖ),
  AddMonoidAlgebra.opRingEquiv a =
    (AddMonoidAlgebra.mapAddEquiv Mᵃᵒᵖ MulOpposite.opAddEquiv)
      ((AddMonoidAlgebra.mapDomainAddEquiv R AddOpposite.opEquiv) (MulOpposite.unop a))

Defined in

Mathlib.Algebra.MonoidAlgebra.Opposite

Cited by

3 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAdd