Theorems · Theorem · category theory
CategoryTheory.Abelian.Ext.add_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 β : CategoryTheory.Abelian.Ext X Y n), (α + β).hom = α.hom + β.hom- Cited by
- 4 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites58
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- Equiv.symmproof · cited by 3,681
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.shiftFunctorstatement · cited by 1,553
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.ProjectiveResolution.extEquivCohomologyClass_symm_addproof · cited by 1
- CategoryTheory.InjectiveResolution.extEquivCohomologyClass_symm_addproof · cited by 1
- CategoryTheory.Abelian.Ext.mapExactFunctor_addproof · cited by 0
- CategoryTheory.Abelian.Ext.neg_homproof · cited by 0