Theorems · Theorem · category theory
Action.tensorHom_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] {X₁ Y₁ X₂ Y₂ : Action V G} (f : X₁ ⟶ Y₁) (g : X₂ ⟶ Y₂),
(CategoryTheory.MonoidalCategoryStruct.tensorHom f g).hom =
CategoryTheory.MonoidalCategoryStruct.tensorHom f.hom g.hom- Defined in
- Mathlib.CategoryTheory.Action.Monoidal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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 and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Monoidstatement and proof · cited by 3,887
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Equivalence.inversestatement · cited by 1,130
- CategoryTheory.MonoidalCategoryStruct.tensorHomstatement and proof · cited by 587
- Actionstatement and proof · cited by 206
- CategoryTheory.Equivalence.symmstatement · cited by 195
- Action.Vstatement · cited by 176
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