Theorems · Theorem · category theory
CategoryTheory.InjectiveResolution.extMk_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} (m : ℕ)
(hm : n + 1 = m), R.extMk 0 m hm ⋯ = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.invproof · cited by 6,514
- Equiv.symmproof · cited by 3,681
- HomologicalComplex.Xstatement · cited by 1,839
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- ComplexShape.upstatement · cited by 1,123
- CategoryTheory.Limits.zero_compproof · cited by 339
- CategoryTheory.HasExtstatement and proof · cited by 218
- CategoryTheory.Abelian.Extstatement · cited by 191
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.