Theorems · Theorem · category theory
CategoryTheory.Abelian.Ext.ext_iff
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
[inst_2 : CategoryTheory.HasExt C] {X Y : C} [inst_3 : HasDerivedCategory C] {n : ℕ}
{α β : CategoryTheory.Abelian.Ext X Y n}, α = β ↔ α.hom = β.hom- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 · cited by 19,642
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- 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 · cited by 88
- DerivedCategory.singleFunctorstatement · cited by 78
- CategoryTheory.Abelian.Ext.homstatement and proof · cited by 42
- CategoryTheory.Abelian.Ext.extproof · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.Ext.biprod_extproof · cited by 1