Theorems · Theorem · category theory
CategoryTheory.MonoidalCategory.MonoidalLeftAction.actionUnitIso_inv_naturality
∀ {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.MonoidalLeftAction C D] {d d' : D} (f : d ⟶ d'),
CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionUnitIso d).inv
(CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionHomRight
(CategoryTheory.MonoidalCategoryStruct.tensorUnit C) f) =
CategoryTheory.CategoryStruct.comp f (CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionUnitIso d').inv- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.MonoidalCategory.MonoidalLeftActionstatement and proof · cited by 215
- CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionObjstatement and proof · cited by 185
- CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionHomRightstatement and proof · cited by 83
- CategoryTheory.Iso.inv_comp_eqproof · cited by 50
Cited by1
Results whose statement or proof uses this declaration.