Theorems · Theorem · category theory
CategoryTheory.NonPreadditiveAbelian.sub_def
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.NonPreadditiveAbelian C] {X Y : C}
(a b : X ⟶ Y),
a - b =
CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.prod.lift a b) CategoryTheory.NonPreadditiveAbelian.σ- Cited by
- 5 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 · cited by 17,999
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
- CategoryTheory.Limits.pairstatement · cited by 536
- CategoryTheory.Limits.prodstatement · cited by 364
- CategoryTheory.Limits.prod.liftstatement · cited by 123
- CategoryTheory.NonPreadditiveAbelianstatement and proof · cited by 29
- CategoryTheory.NonPreadditiveAbelian.hasSubstatement · cited by 14
- CategoryTheory.NonPreadditiveAbelian.σstatement · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.NonPreadditiveAbelian.sub_sub_subproof · cited by 5
- CategoryTheory.NonPreadditiveAbelian.sub_selfproof · cited by 4
- CategoryTheory.NonPreadditiveAbelian.sub_zeroproof · cited by 4
- CategoryTheory.NonPreadditiveAbelian.comp_subproof · cited by 1
- CategoryTheory.NonPreadditiveAbelian.sub_compproof · cited by 1