Theorems · Theorem · category theory
CategoryTheory.MonoidalCategory.MonoidalRightAction.comp_actionHomLeft
∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] [inst_2 : CategoryTheory.MonoidalCategory C]
[inst_3 : CategoryTheory.MonoidalCategory.MonoidalRightAction C D] {w x y : D} (f : w ⟶ x) (g : x ⟶ y) (z : C),
CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomLeft (CategoryTheory.CategoryStruct.comp f g) z =
CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomLeft f z)
(CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomLeft g z)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
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Cites10
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.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionObjstatement · cited by 146
- CategoryTheory.MonoidalCategory.MonoidalRightActionstatement and proof · cited by 140
- CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomLeftstatement · cited by 61
- CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomproof · cited by 29
Cited by5
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