Theorems · Theorem · combinatorics
Quiver.Path.cast_eq_iff_heq
∀ {U : Type u_1} [inst : Quiver U] {u v u' v' : U} (hu : u = u') (hv : v = v') (p : Quiver.Path u v)
(p' : Quiver.Path u' v'), Quiver.Path.cast hu hv p = p' ↔ p ≍ p'- Defined in
- Mathlib.Combinatorics.Quiver.Cast
- 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.
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Quiver.Path.caststatement · cited by 12
- Quiver.Path.cast_eq_castproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Quiver.Path.eq_cast_iff_heqproof · cited by 1
- Prefunctor.pathStar_injectiveproof · cited by 1
- Quiver.cast_eq_of_cons_eq_consproof · cited by 0