Theorems · Theorem · combinatorics
SimpleGraph.Coloring.even_length_iff_congr
∀ {α : Type u_1} {G : SimpleGraph α} (c : G.Coloring Bool) {u v : α} (p : G.Walk u v),
Even p.length ↔ (c u = true ↔ c v = true)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Adjstatement and proof · cited by 1,346
- SimpleGraph.Walkstatement and proof · cited by 915
- Evenstatement and proof · cited by 444
- SimpleGraph.Walk.lengthstatement and proof · cited by 212
- SimpleGraph.completeGraphstatement · cited by 49
- SimpleGraph.Coloringstatement and proof · cited by 44
- SimpleGraph.Coloring.validproof · cited by 11
- not_iffproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.Coloring.odd_length_iff_not_congrproof · cited by 1