Theorems · Theorem · category theory
CategoryTheory.GradedObject.Monoidal.tensorHom_def
∀ {I : Type u} [inst : AddMonoid I] {C : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} C]
[inst_2 : CategoryTheory.MonoidalCategory C] {X₁ X₂ Y₁ Y₂ : CategoryTheory.GradedObject I C} (f : X₁ ⟶ X₂)
(g : Y₁ ⟶ Y₂) [inst_3 : X₁.HasTensor Y₁] [inst_4 : X₂.HasTensor Y₂] [inst_5 : X₂.HasTensor Y₁],
CategoryTheory.GradedObject.Monoidal.tensorHom f g =
CategoryTheory.CategoryStruct.comp (CategoryTheory.GradedObject.Monoidal.whiskerRight f Y₁)
(CategoryTheory.GradedObject.Monoidal.whiskerLeft X₂ g)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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- 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.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- AddMonoidstatement and proof · cited by 2,864
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.GradedObjectstatement and proof · cited by 239
- CategoryTheory.GradedObject.Monoidal.tensorObjstatement and proof · cited by 54
- CategoryTheory.GradedObject.HasTensorstatement and proof · cited by 49
- CategoryTheory.GradedObject.Monoidal.tensorHomstatement and proof · cited by 23
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