Theorems · Definition · combinatorics
SimpleGraph.IsAcyclic.coloringTwo
{V : Type u_1} → {G : SimpleGraph V} → G.IsAcyclic → G.Coloring (Fin 2)Arbitrary coloring with two colors for a forest
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.ConnectedComponentproof · cited by 86
- SimpleGraph.IsAcyclicstatement and proof · cited by 67
- Set.Nonempty.someproof · cited by 53
- SimpleGraph.Coloringstatement · cited by 44
- SimpleGraph.ConnectedComponent.nonempty_suppproof · cited by 2
- SimpleGraph.IsAcyclic.coloringTwoOfVertsproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.IsAcyclic.isBipartiteproof · cited by 1