Theorems · Theorem · category theory
CategoryTheory.InjectiveResolution.extEquivCohomologyClass_symm_zero
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
[inst_2 : CategoryTheory.HasExt C] {X Y : C} (R : CategoryTheory.InjectiveResolution Y) {n : ℕ},
R.extEquivCohomologyClass.symm 0 = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objstatement · cited by 19,642
- Equivstatement · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement · cited by 1,016
- AddEquiv.symmproof · cited by 530
- CategoryTheory.HasExtstatement and proof · cited by 218
- CategoryTheory.Abelian.Extstatement · cited by 191
- CochainComplex.singleFunctorstatement · cited by 111
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.InjectiveResolution.extMk_zeroproof · cited by 0