Theorems · Theorem · combinatorics
Quiver.Path.obj_eq_of_cons_eq_cons
∀ {V : Type u} [inst : Quiver V] {a b c d : V} {p : Quiver.Path a b} {p' : Quiver.Path a c} {e : b ⟶ d} {e' : c ⟶ d},
p.cons e = p'.cons e' → b = c- Defined in
- Mathlib.Combinatorics.Quiver.Path
- Cited by
- 3 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.cons.noConfusionproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Prefunctor.pathStar_injectiveproof · cited by 1
- Quiver.hom_cast_eq_of_cons_eq_consstatement and proof · cited by 0
- Quiver.cast_eq_of_cons_eq_consstatement and proof · cited by 0