Theorems · Theorem · category theory
ComplexShape.Embedding.rel_iff
∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} (e : c.Embedding c') [e.IsRelIff]
(i₁ i₂ : ι), c'.Rel (e.f i₁) (e.f i₂) ↔ c.Rel i₁ i₂- Defined in
- Mathlib.Algebra.Homology.Embedding.Basic
- Cited by
- 5 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.
Cites7
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.IsRelIffstatement and proof · cited by 88
- ComplexShape.Embedding.relproof · cited by 5
- ComplexShape.Embedding.IsRelIff.rel'proof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- ComplexShape.Embedding.not_boundaryGE_nextproof · cited by 7
- ComplexShape.Embedding.next_fproof · cited by 3
- ComplexShape.Embedding.not_boundaryLE_prevproof · cited by 3
- ComplexShape.Embedding.prev_f_of_not_boundaryGEproof · cited by 1
- ComplexShape.Embedding.next_f_of_not_boundaryLEproof · cited by 0