Theorems · Definition · category theory
CochainComplex.IsStrictlyGE
{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 strictly ≥ n.
- Cited by
- 34 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.embeddingUpIntGEproof · cited by 20
- HomologicalComplex.IsStrictlySupportedproof · cited by 11
Cited by36
Results whose statement or proof uses this declaration.
- CochainComplex.plusproof · cited by 24
- CochainComplex.isZero_of_isStrictlyGEstatement and proof · cited by 13
- DerivedCategory.TStructure.tproof · cited by 13
- CochainComplex.isStrictlyGE_iffstatement and proof · cited by 6
- CategoryTheory.Abelian.Ext.eq_zero_of_injectiveproof · cited by 4
- CochainComplex.isStrictlyGE_of_gestatement and proof · cited by 2
- DerivedCategory.left_fac_of_isStrictlyGEstatement and proof · cited by 2
- CategoryTheory.hasExt_iffproof · cited by 1
- CochainComplex.isSplitMono_from_singleFunctor_obj_of_injectivestatement and proof · cited by 1
- CochainComplex.isStrictlyGE_mapHomologicalComplex_obj_iffstatement · cited by 1
- CochainComplex.isStrictlyGE_shiftstatement and proof · cited by 1
- DerivedCategory.exists_iso_singleFunctor_obj_of_isGE_of_isLEproof · cited by 1