Mathlib Map

Theorems · Theorem · group theory

MulDistribMulAction.toMonoidHom_apply

∀ {M : Type u_2} (A : Type u_3) [inst : Monoid M] [inst_1 : Monoid A] [inst_2 : MulDistribMulAction M A] (r : M)
  (x : A), (MulDistribMulAction.toMonoidHom A r) x = r • x
Defined in
Mathlib.Algebra.Group.Action.Basic
Cited by
3 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
MonoidMonoidMulDistribMulAction
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Subgroup.relIndex_pointwise_smul · cited by 2Subgroup.relIndex_pointwi…Sylow.smul_eq_iff_mem_normalizer · cited by 1Sylow.smul_eq_iff_mem_nor…MulDistribMulAction.toMonoidHomZModOfIsCyclic_apply · cited by 1MulDistribMulAction.toMon…DFunLike.coe · cited by 62936DFunLike.coeMonoid · cited by 3887MonoidMonoidHom · cited by 3629MonoidHomMulDistribMulAction · cited by 120MulDistribMulActionMulDistribMulAction.toMonoidHom · cited by 10MulDistribMulAction.toMon…MulDistribMulAction.toMonoidH…CITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.