Theorems · Theorem · category theory
CategoryTheory.ActionCategory.comp_val
∀ {M : Type u_1} [inst : Monoid M] {X : Type u} [inst_1 : MulAction M X] {x y z : CategoryTheory.ActionCategory M X}
(f : x ⟶ y) (g : y ⟶ z), ↑(CategoryTheory.CategoryStruct.comp f g) = ↑g * ↑f- Defined in
- Mathlib.CategoryTheory.Action
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functor.mapstatement · cited by 8,698
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- Monoidstatement and proof · cited by 3,887
- TypeCat.Funstatement · cited by 1,307
- MulActionstatement and proof · cited by 1,294
- CategoryTheory.SingleObjstatement · cited by 88
- CategoryTheory.actionAsFunctorstatement · cited by 12
- CategoryTheory.ActionCategorystatement and proof · cited by 12
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.