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Theorems · Definition · combinatorics

Quiver.Path.below

{V : Type u} →
  [inst : Quiver V] →
    {a : V} →
      {motive : (a_1 : V) → Quiver.Path a a_1 → Sort u_1} →
        {a_1 : V} → Quiver.Path a a_1 → Sort (max ((max u v) + 1) u_1)
Defined in
Mathlib.Combinatorics.Quiver.Path
Cited by
7 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
Quiver
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Quiver.Path.brecOn · cited by 10Path.brecOnQuiver.Path.brecOn.go · cited by 7brecOn.goQuiver.Path.brecOn.eq · cited by 6brecOn.eqQuiver.Path.reverse.eq_def · cited by 0reverse.eq_defQuiver.Path.toList.eq_def · cited by 0toList.eq_defIsFreeGroupoid.SpanningTree.homOfPath.eq_def · cited by 0homOfPath.eq_defCategoryTheory.FreeBicategory.inclusionPathAux.eq_def · cited by 0inclusionPathAux.eq_defCategoryTheory.composePath.eq_def · cited by 0composePath.eq_defQuiver.Path.length.eq_def · cited by 0length.eq_defQuiver.Hom · cited by 32603Quiver.HomQuiver · cited by 405QuiverQuiver.Path · cited by 166Quiver.PathPath.belowCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by9

Results whose statement or proof uses this declaration.