Theorems · Theorem · combinatorics
Quiver.Path.length_eq_zero_iff
∀ {V : Type u_1} [inst : Quiver V] {a : V} (p : Quiver.Path a a), p.length = 0 ↔ p = Quiver.Path.nil- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- Quiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Quiver.Path.lengthstatement and proof · cited by 39
- Quiver.Path.casesOnproof · cited by 12
- Quiver.Path.ctorIdxproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Quiver.Path.comp_eq_nil_iffproof · cited by 0