Theorems · Theorem · category theory
CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.functor_obj_map_hom_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
[inst_2 : CategoryTheory.MonoidalCategory D] [inst_3 : CategoryTheory.BraidedCategory D]
(A : CategoryTheory.CommMon (CategoryTheory.Functor C D)) {X Y : C} (f : X ⟶ Y),
((CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.functor.obj A).map f).hom.hom = A.X.map f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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 and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Equivalence.functorstatement · cited by 1,268
- CategoryTheory.InducedCategory.Hom.homstatement and proof · cited by 850
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.Mon.Xstatement · cited by 329
- CategoryTheory.Mon.Hom.homstatement and proof · cited by 200
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