Theorems · Definition · combinatorics
Quiver.Symmetrify.lift
{V : Type u_2} →
[inst : Quiver V] →
{V' : Type u_4} → [inst_1 : Quiver V'] → [Quiver.HasReverse V'] → V ⥤q V' → Quiver.Symmetrify V ⥤q V'Given a quiver V' with reversible arrows, a prefunctor to V' can be lifted to one from
Symmetrify V to V'
- Defined in
- Mathlib.Combinatorics.Quiver.Symmetric
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- Prefunctor.objproof · cited by 1,241
- Prefunctor.mapproof · cited by 952
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- Quiver.Symmetrifystatement and proof · cited by 28
- Quiver.reverseproof · cited by 23
- Quiver.HasReversestatement and proof · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- Quiver.FreeGroupoid.liftproof · cited by 5
- Quiver.FreeGroupoid.lift_uniqueproof · cited by 3
- Quiver.Symmetrify.lift_specstatement and proof · cited by 1
- Quiver.Symmetrify.lift_uniquestatement · cited by 1
- Quiver.FreeGroupoid.lift_specproof · cited by 1
- Quiver.Symmetrify.lift_reversestatement · cited by 0