Theorems · Inductive type · category theory
ComplexShape.Embedding.IsRelIff
{ι : Type u_1} → {ι' : Type u_2} → {c : ComplexShape ι} → {c' : ComplexShape ι'} → c.Embedding c' → PropAn embedding of complex shapes e satisfies e.IsRelIff if the implication
e.rel is an equivalence.
- Defined in
- Mathlib.Algebra.Homology.Embedding.Basic
- Cited by
- 88 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
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 · cited by 1,684
- ComplexShape.Embeddingstatement · cited by 337
Cited by118
Results whose statement or proof uses this declaration.
- HomologicalComplex.restrictionstatement and proof · cited by 88
- HomologicalComplex.restrictionXIsostatement and proof · cited by 41
- HomologicalComplex.restrictionMapstatement and proof · cited by 16
- ComplexShape.Embedding.HasLiftstatement and proof · cited by 13
- HomologicalComplex.restrictionHomologyIsostatement and proof · cited by 11
- HomologicalComplex.restrictionOpcyclesIsostatement and proof · cited by 11
- HomologicalComplex.stupidTruncstatement and proof · cited by 10
- ComplexShape.Embedding.homRestrictstatement and proof · cited by 10
- HomologicalComplex.restrictionCyclesIsostatement and proof · cited by 9
- ComplexShape.Embedding.liftExtendstatement and proof · cited by 9
- HomologicalComplex.restriction.sc'Isostatement and proof · cited by 9
- ComplexShape.Embedding.not_boundaryGE_nextstatement and proof · cited by 7