Theorems · Definition · category theory
ComplexShape.prev
{ι : Type u_1} → ComplexShape ι → ι → ιAn arbitrary choice of index i such that Rel i j, if such exists.
Returns j otherwise.
- Defined in
- Mathlib.Algebra.Homology.ComplexShape
- Cited by
- 223 results in Mathlib
- Foundations
- Depth 12 from the axioms, rests on 49 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ComplexShapestatement and proof · cited by 1,684
- ComplexShape.Relproof · cited by 518
Cited by272
Results whose statement or proof uses this declaration.
- HomologicalComplex.shortComplexFunctorproof · cited by 72
- ComplexShape.Embedding.BoundaryGEproof · cited by 40
- HomologicalComplex.natIsoSc'statement and proof · cited by 31
- HomologicalComplex.xPrevproof · cited by 26
- HomologicalComplex.dToproof · cited by 24
- ComplexShape.prev_eq'statement · cited by 22
- HomologicalComplex.fromOpcyclesproof · cited by 22
- HomologicalComplex.singleObjHomologySelfIsoproof · cited by 20
- prevDproof · cited by 18
- HomologicalComplex.singleObjOpcyclesSelfIsoproof · cited by 17
- HomologicalComplex.extend.homologyData'statement and proof · cited by 13
- CochainComplex.shiftShortComplexFunctorIsoproof · cited by 12
Showing the 200 most cited of 272.