Theorems · Theorem · category theory
CategoryTheory.AddMonObj.lift_comp_zero_left
∀ {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),
CategoryTheory.CategoryStruct.comp
(CategoryTheory.CartesianMonoidalCategory.lift
(CategoryTheory.CategoryStruct.comp f CategoryTheory.AddMonObj.zero) g)
CategoryTheory.AddMonObj.add =
g- Cited by
- 4 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.Iso.homproof · cited by 7,684
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.MonoidalCategoryStruct.whiskerRightproof · cited by 903
- CategoryTheory.MonoidalCategoryStruct.leftUnitorproof · cited by 437
- CategoryTheory.CartesianMonoidalCategory.liftstatement and proof · cited by 160
- CategoryTheory.AddMonObjstatement and proof · cited by 158
- CategoryTheory.AddMonObj.addstatement and proof · cited by 134
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.AddGrpObj.eq_lift_neg_leftproof · cited by 2
- CategoryTheory.AddGrpObj.add_negproof · cited by 2
- CategoryTheory.AddGrpObj.isPullbackproof · cited by 1
- CategoryTheory.AddMonObj.lift_comp_zero_left_assocproof · cited by 0