Theorems · Theorem · category theory
CategoryTheory.MonoidalPreadditive.tensor_zero
∀ {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 : W ⟶ X),
CategoryTheory.MonoidalCategoryStruct.tensorHom f 0 = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.whiskerRightproof · cited by 903
- CategoryTheory.MonoidalCategoryStruct.tensorHomstatement · cited by 587
- CategoryTheory.Limits.comp_zeroproof · cited by 365
- CategoryTheory.MonoidalPreadditivestatement and proof · cited by 65
- CategoryTheory.MonoidalCategory.tensorHom_defproof · cited by 58
- CategoryTheory.MonoidalPreadditive.whiskerLeft_zeroproof · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.