Theorems · Definition · group theory
MulDistribMulAction.toMonoidHom
{M : Type u_2} → (A : Type u_3) → [inst : Monoid M] → [inst_1 : Monoid A] → [MulDistribMulAction M A] → M → A →* AScalar multiplication by r as a MonoidHom.
- Defined in
- Mathlib.Algebra.Group.Action.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- MulDistribMulActionstatement and proof · cited by 120
- MulDistribMulAction.smul_oneproof · cited by 7
- smul_mul'proof · cited by 7
Cited by13
Results whose statement or proof uses this declaration.
- MulSemiringAction.toRingHomproof · cited by 23
- MulDistribMulAction.toMonoidEndproof · cited by 15
- smul_pow'proof · cited by 5
- MulDistribMulAction.toMulEquivproof · cited by 5
- Finset.smul_prod'proof · cited by 3
- MulDistribMulAction.toMonoidHom_applystatement and proof · cited by 3
- MulDistribMulAction.toMonoidEnd_applystatement · cited by 2
- MulDistribMulAction.toMonoidHomZModOfIsCyclic_applyproof · cited by 1
- List.smul_prod'proof · cited by 0
- smul_zpow'proof · cited by 0
- smul_div'proof · cited by 0
- smul_inv'proof · cited by 0