Theorems · Theorem · category theory
quasiIsoAt_of_comp_right
∀ {ι : Type u_1} {C : Type u} [inst : CategoryTheory.Category.{v, u} C]
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] {c : ComplexShape ι} {K L M : HomologicalComplex C c} (φ : K ⟶ L)
(φ' : L ⟶ M) (i : ι) [inst_2 : K.HasHomology i] [inst_3 : L.HasHomology i] [inst_4 : M.HasHomology i]
[hφ' : QuasiIsoAt φ' i] [hφφ' : QuasiIsoAt (CategoryTheory.CategoryStruct.comp φ φ') i], QuasiIsoAt φ i- Defined in
- Mathlib.Algebra.Homology.QuasiIso
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 40 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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- HomologicalComplexstatement and proof · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- HomologicalComplex.HasHomologystatement and proof · cited by 342
- HomologicalComplex.homologyMapproof · cited by 102
- QuasiIsoAtstatement and proof · cited by 55
- CategoryTheory.IsIso.of_isIso_comp_rightproof · cited by 8
- quasiIsoAt_iff_isIso_homologyMapproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- quasiIsoAt_iff_comp_rightproof · cited by 2