Mathlib Map

Theorems · Theorem · combinatorics

SimpleGraph.chromaticNumber_mono

∀ {V : Type u} {G : SimpleGraph V} (G' : SimpleGraph V), G ≤ G' → G.chromaticNumber ≤ G'.chromaticNumber
Defined in
Mathlib.Combinatorics.SimpleGraph.Coloring.Vertex
Cited by
0 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ENat · cited by 4985ENatSimpleGraph · cited by 3072SimpleGraphSimpleGraph.chromaticNumber · cited by 54SimpleGraph.chromaticNumb…SimpleGraph.chromaticNumber_le_of_forall_imp · cited by 4SimpleGraph.chromaticNumb…SimpleGraph.Colorable.mono_left · cited by 2Colorable.mono_leftSimpleGraph.chromaticNumber_m…CITED BYCITES

Cites5

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.