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Theorems · Theorem · combinatorics

SimpleGraph.colorable_one_iff

∀ {V : Type u} {G : SimpleGraph V}, G.Colorable 1 ↔ G = ⊥
Defined in
Mathlib.Combinatorics.SimpleGraph.Coloring.Vertex
Cited by
1 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.chromaticNumber_eq_one_iff · cited by 1SimpleGraph.chromaticNumb…DFunLike.coe · cited by 62936DFunLike.coeTop.top · cited by 9680Top.topBot.bot · cited by 4720Bot.botSimpleGraph · cited by 3072SimpleGraphSimpleGraph.Adj · cited by 1346SimpleGraph.AdjSimpleGraph.Colorable · cited by 67SimpleGraph.ColorableSimpleGraph.Coloring · cited by 44SimpleGraph.ColoringRelHom.map_rel · cited by 4RelHom.map_relSimpleGraph.eq_bot_iff_forall_not_adj · cited by 2SimpleGraph.eq_bot_iff_fo…SimpleGraph.colorable_one_iffCITED BYCITES

Cites9

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

Cited by1

Results whose statement or proof uses this declaration.