Theorems · Theorem · category theory
CategoryTheory.MonoidalCategory.MonoidalLeftAction.actionOfMonoidalFunctorToEndofunctorMop_actionObj
∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
[inst_1 : CategoryTheory.MonoidalCategory C] [inst_2 : CategoryTheory.Category.{v_2, u_2} D]
(F : CategoryTheory.Functor C (CategoryTheory.Functor D D)ᴹᵒᵖ) [inst_3 : F.Monoidal] (c : C) (d : D),
CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionObj c d = (F.obj c).unmop.obj d- Cited by
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- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Functor.Monoidalstatement and proof · cited by 288
- CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionObjstatement and proof · cited by 185
- CategoryTheory.MonoidalOppositestatement and proof · cited by 179
- CategoryTheory.endofunctorMonoidalCategorystatement · cited by 118
- CategoryTheory.MonoidalOpposite.unmopstatement · cited by 108
- CategoryTheory.MonoidalCategory.MonoidalLeftAction.actionOfMonoidalFunctorToEndofunctorMopstatement · cited by 10
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