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Theorems · Definition · combinatorics

SimpleGraph.Coloring.sum

{V : Type u_3} →
  {W : Type u_5} →
    {γ : Type u_7} → {G : SimpleGraph V} → {H : SimpleGraph W} → G.Coloring γ → H.Coloring γ → (G ⊕g H).Coloring γ

Color G ⊕g H with colorings of G and H

Defined in
Mathlib.Combinatorics.SimpleGraph.Sum
Cited by
4 results in Mathlib
Foundations
Depth 65 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.sumFin · cited by 1Coloring.sumFinSimpleGraph.Coloring.sumEquiv · cited by 0Coloring.sumEquivSimpleGraph.chromaticNumber_sum · cited by 0SimpleGraph.chromaticNumb…SimpleGraph.Coloring.sumLeft_sum · cited by 0Coloring.sumLeft_sumSimpleGraph.Coloring.sumRight_sum · cited by 0Coloring.sumRight_sumSimpleGraph.Coloring.sum_sumLeft_sumRight · cited by 0Coloring.sum_sumLeft_sumR…DFunLike.coe · cited by 62936DFunLike.coeSimpleGraph · cited by 3072SimpleGraphSimpleGraph.Adj · cited by 1346SimpleGraph.AdjSimpleGraph.sum · cited by 46SimpleGraph.sumSimpleGraph.Coloring · cited by 44SimpleGraph.ColoringColoring.sumCITED BYCITES

Cites5

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

Cited by6

Results whose statement or proof uses this declaration.