Theorems · Theorem · category theory
CategoryTheory.Abelian.Ext.ext
∀ {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.hom = β.hom → α = β- Cited by
- 31 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Equiv.injectiveproof · cited by 464
- 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.homEquivproof · cited by 8
Cited by31
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.Ext.mk₀_comp_mk₀proof · cited by 10
- CategoryTheory.Abelian.Ext.zero_compproof · cited by 10
- CategoryTheory.Abelian.Ext.mk₀_zeroproof · cited by 7
- CategoryTheory.Abelian.Ext.comp_zeroproof · cited by 7
- CategoryTheory.Abelian.Ext.mk₀_id_compproof · cited by 5
- CategoryTheory.Abelian.Ext.comp_mk₀_idproof · cited by 5
- CategoryTheory.Abelian.Ext.add_homproof · cited by 4
- CategoryTheory.Abelian.Ext.mk₀_smulproof · cited by 3
- CategoryTheory.Abelian.Ext.mapExactFunctor_extClassproof · cited by 2
- CategoryTheory.Abelian.Ext.comp_addproof · cited by 2
- CategoryTheory.Abelian.Ext.comp_smulproof · cited by 2
- CategoryTheory.Abelian.Ext.smul_compproof · cited by 2