Theorems · Definition · combinatorics
Quiver.Path.cast
{U : Type u_1} → [inst : Quiver U] → {u v u' v' : U} → u = u' → v = v' → Quiver.Path u v → Quiver.Path u' v'Change the endpoints of a path using equalities.
- Defined in
- Mathlib.Combinatorics.Quiver.Cast
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- Quiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
Cited by12
Results whose statement or proof uses this declaration.
- Quiver.Path.cast_eq_iff_heqstatement · cited by 3
- Quiver.Path.cast_eq_caststatement and proof · cited by 2
- Quiver.Path.cast_rfl_rflstatement · cited by 1
- Quiver.Path.eq_cast_iff_heqstatement and proof · cited by 1
- Prefunctor.pathStar_injectiveproof · cited by 1
- Quiver.Path.cast_consstatement and proof · cited by 1
- Quiver.Path.cast_heqstatement · cited by 0
- Quiver.Path.cast_nilstatement and proof · cited by 0
- Quiver.SingleObj.listToPath_pathToListstatement and proof · cited by 0
- Quiver.cast_eq_of_cons_eq_consstatement · cited by 0
- Quiver.eq_nil_of_length_zerostatement and proof · cited by 0
- Quiver.Path.cast_caststatement and proof · cited by 0