Theorems · Inductive type · category theory
ComplexShape.Embedding
{ι : Type u_1} → {ι' : Type u_2} → ComplexShape ι → ComplexShape ι' → Type (max u_1 u_2)An embedding of a complex shape c : ComplexShape ι into a complex shape
c' : ComplexShape ι' consists of an injective map f : ι → ι' which satisfies
a compatibility with respect to the relations c.Rel and c'.Rel.
- Defined in
- Mathlib.Algebra.Homology.Embedding.Basic
- Cited by
- 337 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ComplexShapestatement · cited by 1,684
Cited by475
Results whose statement or proof uses this declaration.
- ComplexShape.Embedding.fstatement and proof · cited by 251
- HomologicalComplex.extendstatement and proof · cited by 115
- HomologicalComplex.restrictionstatement and proof · cited by 88
- ComplexShape.Embedding.IsRelIffstatement · cited by 88
- ComplexShape.Embedding.IsTruncGEstatement · cited by 56
- HomologicalComplex.extendXIsostatement and proof · cited by 56
- ComplexShape.Embedding.IsTruncLEstatement · cited by 48
- HomologicalComplex.restrictionXIsostatement and proof · cited by 41
- ComplexShape.Embedding.BoundaryGEstatement and proof · cited by 40
- HomologicalComplex.truncGE'statement and proof · cited by 35
- ComplexShape.Embedding.AreComplementarystatement · cited by 32
- HomologicalComplex.extendMapstatement and proof · cited by 27
Showing the 200 most cited of 475.