Theorems · Theorem · category theory
ComplexShape.Embedding.IsTruncGE.mem_next
∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} {e : c.Embedding c'} [self : e.IsTruncGE]
{j : ι} {k' : ι'}, c'.Rel (e.f j) k' → ∃ k, e.f k = k'- Defined in
- Mathlib.Algebra.Homology.Embedding.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 · cited by 518
- ComplexShape.Embeddingstatement and proof · cited by 337
- ComplexShape.Embedding.fstatement · cited by 251
- ComplexShape.Embedding.IsTruncGEstatement and proof · cited by 56
Cited by1
Results whose statement or proof uses this declaration.
- ComplexShape.Embedding.mem_nextproof · cited by 2