Theorems · Theorem · combinatorics
Quiver.Path.comp_cons
∀ {V : Type u} [inst : Quiver V] {a b c d : V} (p : Quiver.Path a b) (q : Quiver.Path b c) (e : c ⟶ d),
p.comp (q.cons e) = (p.comp q).cons e- Defined in
- Mathlib.Combinatorics.Quiver.Path
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- Quiver
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.
- Quiver.Homstatement and proof · cited by 32,603
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Quiver.Path.compstatement · cited by 45
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.comp_mem_paths_iffproof · cited by 1