Theorems · Theorem · category theory
CategoryTheory.IsAddMonHom.zero_hom_assoc
∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {inst_1 : CategoryTheory.MonoidalCategory C} {M' N' : C}
{inst_2 : CategoryTheory.AddMonObj M'} {inst_3 : CategoryTheory.AddMonObj N'} (f : M' ⟶ N')
[self : CategoryTheory.IsAddMonHom f] {Z : C} (h : N' ⟶ Z),
CategoryTheory.CategoryStruct.comp CategoryTheory.AddMonObj.zero (CategoryTheory.CategoryStruct.comp f h) =
CategoryTheory.CategoryStruct.comp CategoryTheory.AddMonObj.zero h- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses Quot.sound
- Assumes
- CategoryTheory.IsAddMonHom
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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.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.AddMonObjstatement and proof · cited by 158
- CategoryTheory.AddMonObj.zerostatement and proof · cited by 100
- CategoryTheory.IsAddMonHomstatement and proof · cited by 49
- CategoryTheory.IsAddMonHom.zero_homproof · cited by 4
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