Mathlib Map

Theorems · Definition · group theory

DistribMulActionHom.id

(M : Type u_1) →
  [inst : Monoid M] → {A : Type u_4} → [inst_1 : AddMonoid A] → [inst_2 : DistribMulAction M A] → A →+[M] A

The identity map as an equivariant additive monoid homomorphism.

Defined in
Mathlib.GroupTheory.GroupAction.Hom
Cited by
3 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
MonoidAddMonoidDistribMulAction
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

LinearMap.id · cited by 625LinearMap.idMulSemiringActionHom.id · cited by 3MulSemiringActionHom.idDistribMulActionHom.id_apply · cited by 2DistribMulActionHom.id_ap…DistribMulActionHom.comp_id · cited by 0DistribMulActionHom.comp_…DistribMulActionHom.id_comp · cited by 0DistribMulActionHom.id_co…Monoid · cited by 3887MonoidAddMonoid · cited by 2864AddMonoidDistribMulAction · cited by 584DistribMulActionMonoidHom.id · cited by 323MonoidHom.idDistribMulActionHom · cited by 63DistribMulActionHomMulActionHom.id · cited by 8MulActionHom.idDistribMulActionHom.idCITED BYCITES

Cites6

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

Cited by5

Results whose statement or proof uses this declaration.