Theorems · Theorem · category theory
ComplexShape.Embedding.mem_prev
∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} (e : c.Embedding c') [e.IsTruncLE]
{i' : ι'} {j : ι}, c'.Rel i' (e.f j) → ∃ i, e.f i = i'- Defined in
- Mathlib.Algebra.Homology.Embedding.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Relstatement and proof · cited by 518
- ComplexShape.Embeddingstatement and proof · cited by 337
- ComplexShape.Embedding.fstatement and proof · cited by 251
- ComplexShape.Embedding.IsTruncLEstatement and proof · cited by 48
- ComplexShape.Embedding.IsTruncLE.mem_prevproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ComplexShape.Embedding.BoundaryGE.false_of_isTruncLEproof · cited by 0