Theorems · Theorem · category theory
CategoryTheory.Center.tensorHom_f
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
{X₁ Y₁ X₂ Y₂ : CategoryTheory.Center C} (f : X₁ ⟶ Y₁) (g : X₂ ⟶ Y₂),
(CategoryTheory.Center.tensorHom f g).f = CategoryTheory.MonoidalCategoryStruct.tensorHom f.f g.f- Defined in
- Mathlib.CategoryTheory.Monoidal.Center
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorHomstatement · cited by 587
- CategoryTheory.HalfBraidingstatement · cited by 62
- CategoryTheory.Centerstatement and proof · cited by 58
- CategoryTheory.Center.Hom.fstatement and proof · cited by 33
- CategoryTheory.Center.tensorObjstatement · cited by 7
- CategoryTheory.Center.tensorHomstatement and proof · cited by 1
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