Mathlib Map

Theorems · Theorem · ring theory

AddMonoidAlgebra.mapRingEquiv_single

∀ {R : Type u_3} {S : Type u_4} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : AddMonoid M]
  (e : R ≃+* S) (r : R) (m : M),
  (AddMonoidAlgebra.mapRingEquiv M e) (AddMonoidAlgebra.single m r) = AddMonoidAlgebra.single m (e r)
Defined in
Mathlib.Algebra.MonoidAlgebra.MapDomain
Cited by
0 results in Mathlib
Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringSemiringAddMonoid

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites12

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.