Theorems · Inductive type · category theory
ComplexShape.Embedding.IsTruncLE
{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'.prev.
- Defined in
- Mathlib.Algebra.Homology.Embedding.Basic
- Cited by
- 48 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 by67
Results whose statement or proof uses this declaration.
- HomologicalComplex.truncLEstatement and proof · cited by 19
- HomologicalComplex.truncLE'statement and proof · cited by 15
- HomologicalComplex.shortComplexTruncLEstatement and proof · cited by 13
- HomologicalComplex.ιTruncLEstatement and proof · cited by 10
- HomologicalComplex.truncLE'Mapstatement and proof · cited by 8
- HomologicalComplex.truncLEMapstatement and proof · cited by 7
- HomologicalComplex.truncLE'ToRestrictionstatement and proof · cited by 5
- ComplexShape.Embedding.truncLE'Functorstatement and proof · cited by 4
- ComplexShape.Embedding.truncLEFunctorstatement and proof · cited by 4
- HomologicalComplex.shortComplexTruncLE_shortExactstatement and proof · cited by 4
- HomologicalComplex.truncLE'XIsostatement and proof · cited by 4
- HomologicalComplex.shortComplexTruncLEX₃ToTruncGEstatement and proof · cited by 3