Theorems · Theorem · category theory
CategoryTheory.Abelian.Ext.neg_hom
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
[inst_2 : CategoryTheory.HasExt C] {X Y : C} {n : ℕ} [inst_3 : HasDerivedCategory C]
(α : CategoryTheory.Abelian.Ext X Y n), (-α).hom = -α.hom- Cited by
- 0 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.shiftFunctorstatement · cited by 1,553
- CategoryTheory.HasExtstatement and proof · cited by 218
- add_neg_cancelproof · cited by 213
- CategoryTheory.Abelian.Extstatement and proof · cited by 191
- HasDerivedCategorystatement and proof · cited by 190
- DerivedCategorystatement · cited by 165
- CategoryTheory.ShiftedHomstatement and proof · cited by 88
- DerivedCategory.singleFunctorstatement and proof · cited by 78
- add_right_injproof · cited by 71
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