Theorems · Theorem · ring theory

AddMonoidAlgebra.mapDomainRingEquiv_single

∀ {R : Type u_3} {M : Type u_6} {N : Type u_7} [inst : Semiring R] [inst_1 : AddMonoid M] [inst_2 : AddMonoid N]
  (e : M ≃+ N) (r : R) (m : M),
  (AddMonoidAlgebra.mapDomainRingEquiv R e) (AddMonoidAlgebra.single m r) = AddMonoidAlgebra.single (e m) r

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

6 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddMonoidAddMonoid