Theorems · Theorem · combinatorics
Quiver.Path.comp_eq_nil_iff
∀ {V : Type u_1} [inst : Quiver V] {a b : V} {p : Quiver.Path a b} {q : Quiver.Path b a},
p.comp q = Quiver.Path.nil ↔ p.length = 0 ∧ q.length = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
- Assumes
- Quiver
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Cites9
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.compstatement and proof · cited by 45
- Quiver.Path.lengthstatement and proof · cited by 39
- Quiver.Path.nil_compproof · cited by 3
- Quiver.Path.length_eq_zero_iffproof · cited by 1
- Quiver.Path.nil_of_comp_eq_nil_leftproof · cited by 1
- Quiver.Path.nil_of_comp_eq_nil_rightproof · cited by 1
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