Theorems · Inductive type · category theory
ComplexShape.Embedding.IsTruncGE
{ι : Type u_1} → {ι' : Type u_2} → {c : ComplexShape ι} → {c' : ComplexShape ι'} → c.Embedding c' → PropThe condition that the image of the map e.f of an embedding of
complex shapes e : Embedding c c' is stable by c'.next.
- Defined in
- Mathlib.Algebra.Homology.Embedding.Basic
- Cited by
- 56 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 by78
Results whose statement or proof uses this declaration.
- HomologicalComplex.truncGE'statement and proof · cited by 35
- HomologicalComplex.truncGEstatement and proof · cited by 20
- HomologicalComplex.truncGE'XIsostatement and proof · cited by 14
- HomologicalComplex.truncGE'XIsoOpcyclesstatement and proof · cited by 14
- HomologicalComplex.restrictionToTruncGE'statement and proof · cited by 13
- HomologicalComplex.πTruncGEstatement and proof · cited by 13
- HomologicalComplex.truncGE'Mapstatement and proof · cited by 12
- HomologicalComplex.truncGEMapstatement and proof · cited by 7
- ComplexShape.Embedding.truncGE'Functorstatement and proof · cited by 4
- ComplexShape.Embedding.truncGEFunctorstatement and proof · cited by 4
- HomologicalComplex.restrictionToTruncGE'.fstatement and proof · cited by 4
- HomologicalComplex.truncGE'Map_f_eqstatement and proof · cited by 4