Theorems · Theorem · category theory
CategoryTheory.Abelian.Ext.zero_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],
CategoryTheory.Abelian.Ext.hom 0 = 0- Cited by
- 6 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.
Cites20
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
- zero_addproof · cited by 2,366
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.shiftFunctorstatement · cited by 1,553
- CategoryTheory.HasExtstatement and proof · cited by 218
- 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
- CategoryTheory.Abelian.Ext.compproof · cited by 80
- DerivedCategory.singleFunctorstatement and proof · cited by 78
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.Ext.eq_zero_of_projectiveproof · cited by 4
- CategoryTheory.Abelian.Ext.eq_zero_of_injectiveproof · cited by 4
- CategoryTheory.ShortComplex.ShortExact.extClass_compproof · cited by 1
- CategoryTheory.ShortComplex.ShortExact.comp_extClassproof · cited by 1
- CategoryTheory.Abelian.Ext.mapExactFunctor_zeroproof · cited by 0
- CategoryTheory.Abelian.Ext.neg_homproof · cited by 0