Theorems · Theorem · category theory
CategoryTheory.NonPreadditiveAbelian.sub_self
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.NonPreadditiveAbelian C] {X Y : C}
(a : X ⟶ Y), a - a = 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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.Category.assocproof · cited by 6,433
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Limits.comp_zeroproof · cited by 365
- CategoryTheory.Limits.prodproof · cited by 364
- CategoryTheory.Limits.prod.liftproof · cited by 123
- CategoryTheory.Limits.prod.comp_liftproof · cited by 46
- CategoryTheory.NonPreadditiveAbelianstatement and proof · cited by 29
- CategoryTheory.NonPreadditiveAbelian.hasSubstatement · cited by 14
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.NonPreadditiveAbelian.neg_negproof · cited by 3
- CategoryTheory.NonPreadditiveAbelian.neg_sub'proof · cited by 2
- CategoryTheory.NonPreadditiveAbelian.add_neg_cancelproof · cited by 1
- CategoryTheory.NonPreadditiveAbelian.add_zeroproof · cited by 0