Theorems · Theorem · combinatorics
Quiver.Hom.cast_eq_iff_heq
∀ {U : Type u_1} [inst : Quiver U] {u v u' v' : U} (hu : u = u') (hv : v = v') (e : u ⟶ v) (e' : u' ⟶ v'),
Quiver.Hom.cast hu hv e = e' ↔ e ≍ e'- Defined in
- Mathlib.Combinatorics.Quiver.Cast
- Cited by
- 2 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.Hom.caststatement · cited by 9
- Quiver.Hom.cast_eq_castproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Quiver.hom_cast_eq_of_cons_eq_consproof · cited by 0
- Quiver.Hom.eq_cast_iff_heqproof · cited by 0