Theorems · Definition · category theory
CategoryTheory.NonPreadditiveAbelian.hasSub
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.NonPreadditiveAbelian C] → {X Y : C} → Sub (X ⟶ Y)Subtraction of morphisms in a NonPreadditiveAbelian category.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Limits.prod.liftproof · cited by 123
- CategoryTheory.NonPreadditiveAbelianstatement and proof · cited by 29
- CategoryTheory.NonPreadditiveAbelian.σproof · cited by 12
Cited by14
Results whose statement or proof uses this declaration.
- CategoryTheory.NonPreadditiveAbelian.add_defstatement · cited by 9
- CategoryTheory.NonPreadditiveAbelian.neg_defstatement · cited by 8
- CategoryTheory.NonPreadditiveAbelian.sub_defstatement · cited by 5
- CategoryTheory.NonPreadditiveAbelian.sub_sub_substatement · cited by 5
- CategoryTheory.NonPreadditiveAbelian.sub_selfstatement · cited by 4
- CategoryTheory.NonPreadditiveAbelian.sub_zerostatement · cited by 4
- CategoryTheory.NonPreadditiveAbelian.add_negstatement · cited by 3
- CategoryTheory.NonPreadditiveAbelian.neg_sub'statement · cited by 2
- CategoryTheory.NonPreadditiveAbelian.comp_substatement · cited by 1
- CategoryTheory.NonPreadditiveAbelian.neg_substatement · cited by 1
- CategoryTheory.NonPreadditiveAbelian.sub_addstatement · cited by 1
- CategoryTheory.NonPreadditiveAbelian.sub_compstatement · cited by 1