Theorems · Theorem · category theory
ComplexShape.Embedding.rel
∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} (self : c.Embedding c') {i₁ i₂ : ι},
c.Rel i₁ i₂ → c'.Rel (self.f i₁) (self.f i₂)- Defined in
- Mathlib.Algebra.Homology.Embedding.Basic
- Cited by
- 5 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.
Cites4
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
Cited by6
Results whose statement or proof uses this declaration.
- ComplexShape.Embedding.opproof · cited by 26
- ComplexShape.Embedding.rel_iffproof · cited by 5
- HomologicalComplex.extend.leftHomologyData.lift_d_comp_eq_zero_iff'proof · cited by 1
- HomologicalComplex.extend.rightHomologyData.d_comp_desc_eq_zero_iff'proof · cited by 1
- HomologicalComplex.extend.comp_d_eq_zero_iffproof · cited by 0
- HomologicalComplex.extend.d_comp_eq_zero_iffproof · cited by 0