Theorems · Theorem · group theory
DomMulAct.smul_monoidHom_apply
∀ {M : Type u_5} {A : Type u_7} {B : Type u_8} [inst : Monoid M] [inst_1 : Monoid A] [inst_2 : MulDistribMulAction M A]
[inst_3 : MulOneClass B] (c : Mᵈᵐᵃ) (f : A →* B) (a : A), (c • f) a = f (DomMulAct.mk.symm c • a)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- Monoidstatement and proof · cited by 3,887
- Equiv.symmstatement · cited by 3,681
- MonoidHomstatement and proof · cited by 3,629
- MulOneClassstatement and proof · cited by 1,018
- MulDistribMulActionstatement and proof · cited by 120
- DomMulActstatement and proof · cited by 71
- DomMulAct.mkstatement · cited by 56
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