Theorems · Theorem · category theory
Action.associator_hom_hom
∀ {V : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} V] {G : Type u_2} [inst_1 : Monoid G]
[inst_2 : CategoryTheory.MonoidalCategory V] (X Y Z : Action V G),
(CategoryTheory.MonoidalCategoryStruct.associator X Y Z).hom.hom =
(CategoryTheory.MonoidalCategoryStruct.associator X.V Y.V Z.V).hom- Defined in
- Mathlib.CategoryTheory.Action.Monoidal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- Monoidstatement and proof · cited by 3,887
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.Equivalence.functorstatement · cited by 1,268
Cited by2
Results whose statement or proof uses this declaration.
- Representation.LinearizeMonoidal.assoc_comp_δproof · cited by 0
- Representation.LinearizeMonoidal.μ_comp_assocproof · cited by 0