Theorems · Theorem · category theory
CategoryTheory.NonPreadditiveAbelian.neg_def
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.NonPreadditiveAbelian C] {X Y : C}
(a : X ⟶ Y), -a = 0 - a- Cited by
- 8 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.
Cites5
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.NonPreadditiveAbelianstatement and proof · cited by 29
- CategoryTheory.NonPreadditiveAbelian.hasSubstatement · cited by 14
- CategoryTheory.NonPreadditiveAbelian.hasNegstatement · cited by 9
Cited by8
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.neg_subproof · cited by 1
- CategoryTheory.NonPreadditiveAbelian.sub_addproof · cited by 1
- CategoryTheory.NonPreadditiveAbelian.add_commproof · cited by 1
- CategoryTheory.NonPreadditiveAbelian.add_zeroproof · cited by 0
- CategoryTheory.NonPreadditiveAbelian.comp_addproof · cited by 0
- CategoryTheory.NonPreadditiveAbelian.add_compproof · cited by 0