Theorems · Theorem · category theory
CategoryTheory.NonPreadditiveAbelian.neg_add
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.NonPreadditiveAbelian C] {X Y : C}
(a b : X ⟶ Y), -(a + b) = -a - b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.hasAddstatement · cited by 12
- CategoryTheory.NonPreadditiveAbelian.hasNegstatement · cited by 9
- CategoryTheory.NonPreadditiveAbelian.add_defproof · cited by 9
- CategoryTheory.NonPreadditiveAbelian.add_negproof · cited by 3
- CategoryTheory.NonPreadditiveAbelian.neg_sub'proof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.