Theorems · Definition · combinatorics
Quiver.IsThin
(V : Type u) → [Quiver V] → Prop
A quiver is thin if it has no parallel arrows.
- Defined in
- Mathlib.Combinatorics.Quiver.Basic
- Cited by
- 51 results in Mathlib
- Foundations
- Depth 2 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.Homproof · cited by 32,603
- Quiverstatement and proof · cited by 405
Cited by75
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Cover.RelativeGluingData.toBasestatement and proof · cited by 8
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.gluedstatement and proof · cited by 7
- AlgebraicGeometry.Scheme.Cover.RelativeGluingData.gluedstatement and proof · cited by 7
- AlgebraicGeometry.Scheme.IsLocallyDirected.openCoverstatement and proof · cited by 5
- CategoryTheory.ThinSkeleton.skeletalstatement and proof · cited by 5
- AlgebraicGeometry.Scheme.Cover.RelativeGluingData.ι_toBasestatement and proof · cited by 4
- AlgebraicGeometry.Scheme.IsLocallyDirected.tAuxstatement and proof · cited by 4
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.gluedCoconestatement and proof · cited by 4
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.pullbackGluedIsostatement and proof · cited by 4
- CategoryTheory.Functor.eq_of_isostatement and proof · cited by 4
- AlgebraicGeometry.Scheme.Cover.RelativeGluingData.coverstatement and proof · cited by 4
- AlgebraicGeometry.Scheme.IsLocallyDirected.glueDatastatement and proof · cited by 3