Theorems · Definition · category theory
CochainComplex.IsLE
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] → CochainComplex C ℤ → ℤ → PropThe condition that a cochain complex K is (cohomologically) ≤ n.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CochainComplexstatement and proof · cited by 1,016
- ComplexShape.embeddingUpIntLEproof · cited by 21
- HomologicalComplex.IsSupportedproof · cited by 10
Cited by11
Results whose statement or proof uses this declaration.
- CochainComplex.exactAt_of_isLEstatement and proof · cited by 4
- CochainComplex.isLE_iffstatement and proof · cited by 3
- CochainComplex.isZero_of_isLEstatement and proof · cited by 1
- DerivedCategory.isLE_iffproof · cited by 1
- CategoryTheory.HasExt.hasSmallLocalizedShiftedHom_of_isLE_of_isGEstatement and proof · cited by 0
- CochainComplex.isLE_of_isostatement and proof · cited by 0
- CochainComplex.isLE_of_lestatement and proof · cited by 0
- CochainComplex.isLE_shiftstatement and proof · cited by 0
- CochainComplex.acyclic_truncGE_iffstatement and proof · cited by 0
- DerivedCategory.isLE_Q_obj_iffstatement · cited by 0
- CochainComplex.quasiIso_ιTruncLE_iffstatement · cited by 0