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Theorems · Definition · combinatorics

SimpleGraph.Coloring.colorClasses

{V : Type u} → {G : SimpleGraph V} → {α : Type u_2} → G.Coloring α → Set (Set V)

The set containing all color classes.

Defined in
Mathlib.Combinatorics.SimpleGraph.Coloring.Vertex
Cited by
6 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

SimpleGraph.Coloring.toPartition · cited by 3Coloring.toPartitionSimpleGraph.Coloring.colorClasses_finite · cited by 1Coloring.colorClasses_fin…SimpleGraph.Coloring.card_colorClasses_le · cited by 1Coloring.card_colorClasse…SimpleGraph.Coloring.colorClasses_isPartition · cited by 0Coloring.colorClasses_isP…SimpleGraph.Coloring.toPartition_parts · cited by 0Coloring.toPartition_partsSimpleGraph.Coloring.mem_colorClasses · cited by 0Coloring.mem_colorClassesSimpleGraph.partitionable_iff_colorable · cited by 0SimpleGraph.partitionable…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetSimpleGraph · cited by 3072SimpleGraphSimpleGraph.Coloring · cited by 44SimpleGraph.ColoringSetoid.ker · cited by 43Setoid.kerSetoid.classes · cited by 17Setoid.classesColoring.colorClassesCITED BYCITES

Cites6

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

Cited by7

Results whose statement or proof uses this declaration.