Theorems · Definition · group theory
DistribMulAction.toAddMonoidEnd
(M : Type u_1) → (A : Type u_7) → [inst : Monoid M] → [inst_1 : AddMonoid A] → [DistribMulAction M A] → M →* AddMonoid.End A
Each element of the monoid defines an additive monoid homomorphism.
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- AddMonoidstatement and proof · cited by 2,864
- DistribMulActionstatement and proof · cited by 584
- AddMonoid.Endstatement · cited by 64
- DistribSMul.toAddMonoidHomproof · cited by 20
Cited by11
Results whose statement or proof uses this declaration.
- Representation.ofDistribMulActionproof · cited by 5
- DistribMulAction.toAddMonoidEnd_applystatement and proof · cited by 2
- AddSubgroup.pointwise_smul_defstatement · cited by 1
- Module.toAddMonoidEndproof · cited by 1
- AddMonoid.End.intCast_defstatement · cited by 0
- AddSubgroup.relIndex_pointwise_smulproof · cited by 0
- AddMonoid.End.natCast_defstatement · cited by 0
- AddCommGroup.smul_top_eq_top_of_divisibleBy_intproof · cited by 0
- AddSubmonoid.smul_botproof · cited by 0
- AddSubmonoid.smul_closureproof · cited by 0
- AddSubmonoid.smul_supproof · cited by 0