Theorems · Definition · combinatorics
Quiver.Hom.cast
{U : Type u_1} → [inst : Quiver U] → {u v u' v' : U} → u = u' → v = v' → (u ⟶ v) → (u' ⟶ v')Change the endpoints of an arrow using equalities.
- Defined in
- Mathlib.Combinatorics.Quiver.Cast
- Cited by
- 9 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.
- Quiver.Homstatement and proof · cited by 32,603
- Quiverstatement and proof · cited by 405
Cited by9
Results whose statement or proof uses this declaration.
- Quiver.Hom.cast_eq_iff_heqstatement · cited by 2
- Quiver.Hom.cast_eq_caststatement and proof · cited by 1
- Quiver.Hom.cast_heqstatement · cited by 1
- Prefunctor.pathStar_injectiveproof · cited by 1
- Quiver.Path.cast_consstatement · cited by 1
- Quiver.Hom.cast_caststatement and proof · cited by 0
- Quiver.hom_cast_eq_of_cons_eq_consstatement · cited by 0
- Quiver.Hom.cast_rfl_rflstatement · cited by 0
- Quiver.Hom.eq_cast_iff_heqstatement · cited by 0