Theorems · Theorem · category theory
CategoryTheory.AddMonObj.lift_comp_zero_left_assoc
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{A B : C} [inst_2 : CategoryTheory.AddMonObj B] (f : A ⟶ CategoryTheory.MonoidalCategoryStruct.tensorUnit C)
(g : A ⟶ B) {Z : C} (h : B ⟶ Z),
CategoryTheory.CategoryStruct.comp
(CategoryTheory.CartesianMonoidalCategory.lift
(CategoryTheory.CategoryStruct.comp f CategoryTheory.AddMonObj.zero) g)
(CategoryTheory.CategoryStruct.comp CategoryTheory.AddMonObj.add h) =
CategoryTheory.CategoryStruct.comp g h- Cited by
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- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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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.compstatement and proof · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.CartesianMonoidalCategory.liftstatement and proof · cited by 160
- CategoryTheory.AddMonObjstatement and proof · cited by 158
- CategoryTheory.AddMonObj.addstatement and proof · cited by 134
- CategoryTheory.AddMonObj.zerostatement and proof · cited by 100
- CategoryTheory.AddMonObj.lift_comp_zero_leftproof · cited by 4
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