Theorems · Theorem · category theory
CategoryTheory.MonoidalPreadditive.zero_tensor
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
[inst_2 : CategoryTheory.MonoidalCategory C] [CategoryTheory.MonoidalPreadditive C] {W X Y Z : C} (f : Y ⟶ Z),
CategoryTheory.MonoidalCategoryStruct.tensorHom 0 f = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
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Cites12
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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.whiskerLeftproof · cited by 915
- CategoryTheory.MonoidalCategoryStruct.tensorHomstatement · cited by 587
- CategoryTheory.Limits.zero_compproof · cited by 339
- CategoryTheory.MonoidalPreadditivestatement and proof · cited by 65
- CategoryTheory.MonoidalCategory.tensorHom_defproof · cited by 58
- CategoryTheory.MonoidalPreadditive.zero_whiskerRightproof · cited by 6
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