Theorems · Definition · combinatorics
Quiver.Path.comp
{V : Type u} → [inst : Quiver V] → {a b c : V} → Quiver.Path a b → Quiver.Path b c → Quiver.Path a cComposition of paths.
- Defined in
- Mathlib.Combinatorics.Quiver.Path
- Cited by
- 45 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- Quiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Quiver.Path.brecOnproof · cited by 10
Cited by46
Results whose statement or proof uses this declaration.
- Quiver.Path.length_compstatement · cited by 5
- Quiver.Path.comp_assocstatement · cited by 3
- Quiver.Path.nil_compstatement · cited by 3
- Quiver.Path.comp_injstatement and proof · cited by 2
- Quiver.Path.eq_toPath_comp_of_length_eq_succstatement and proof · cited by 2
- Quiver.Path.exists_eq_comp_of_le_lengthstatement and proof · cited by 2
- Quiver.Path.reverse_compstatement and proof · cited by 2
- Quiver.Path.vertices_compstatement and proof · cited by 2
- Quiver.Path.comp_consstatement · cited by 1
- Quiver.Path.comp_inj'statement and proof · cited by 1
- Quiver.Path.comp_injective_leftstatement and proof · cited by 1
- Quiver.Path.comp_injective_rightstatement and proof · cited by 1