Theorems · Theorem · category theory
Action.ofMulAction_apply
∀ {G : Type u_1} {H : Type u_2} [inst : Monoid G] [inst_1 : MulAction G H] (g : G) (x : H),
(CategoryTheory.ConcreteCategory.hom ((Action.ofMulAction G H).ρ g)) x = g • x- Defined in
- Mathlib.CategoryTheory.Action.Concrete
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- TypeCat.Funstatement · cited by 1,307
- MulActionstatement and proof · cited by 1,294
- Action.Vstatement · cited by 176
- CategoryTheory.Endstatement · cited by 169
- Action.ρstatement · cited by 51
- Action.ofMulActionstatement · cited by 8
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