Theorems · Definition · category theory
ComplexShape.Embedding.f
{ι : Type u_1} → {ι' : Type u_2} → {c : ComplexShape ι} → {c' : ComplexShape ι'} → c.Embedding c' → ι → ι'the map between the underlying types of indices
- Defined in
- Mathlib.Algebra.Homology.Embedding.Basic
- Cited by
- 251 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · 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 and proof · cited by 1,684
- ComplexShape.Embeddingstatement and proof · cited by 337
Cited by323
Results whose statement or proof uses this declaration.
- HomologicalComplex.restrictionproof · cited by 88
- HomologicalComplex.extendXIsostatement and proof · cited by 56
- HomologicalComplex.restrictionXIsostatement and proof · cited by 41
- ComplexShape.Embedding.BoundaryGEproof · cited by 40
- ComplexShape.Embedding.opproof · cited by 26
- ComplexShape.Embedding.BoundaryLEproof · cited by 19
- HomologicalComplex.restrictionMapproof · cited by 16
- HomologicalComplex.truncGE'XIsostatement and proof · cited by 14
- HomologicalComplex.truncGE'XIsoOpcyclesstatement and proof · cited by 14
- ComplexShape.Embedding.HasLiftproof · cited by 13
- HomologicalComplex.extend.homologyData'statement and proof · cited by 13
- HomologicalComplex.extendCyclesIsostatement and proof · cited by 13
Showing the 200 most cited of 323.