Theorems · Theorem · category theory
CategoryTheory.WideSubcategory.tensorHom_hom
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (P : CategoryTheory.MorphismProperty C)
[inst_1 : CategoryTheory.MonoidalCategory C] [inst_2 : P.IsMonoidalStable]
{X₁ Y₁ X₂ Y₂ : CategoryTheory.WideSubcategory P} (f : X₁ ⟶ Y₁) (g : X₂ ⟶ Y₂),
(CategoryTheory.MonoidalCategoryStruct.tensorHom f g).hom =
CategoryTheory.MonoidalCategoryStruct.tensorHom f.hom g.hom- Cited by
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- Foundations
- Depth 16 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.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MonoidalCategoryStruct.tensorHomstatement and proof · cited by 587
- CategoryTheory.WideSubcategorystatement and proof · cited by 26
- CategoryTheory.WideSubcategory.objstatement · cited by 22
- CategoryTheory.InducedWideCategory.Hom.homstatement and proof · cited by 19
- CategoryTheory.MorphismProperty.IsMonoidalStablestatement and proof · cited by 10
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