Theorems · Theorem · combinatorics
SimpleGraph.two_colorable_iff_forall_loop_even
∀ {α : Type u_1} {G : SimpleGraph α}, G.Colorable 2 ↔ ∀ (u : α) (w : G.Walk u u), Even w.length- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- LE.le.transproof · cited by 3,151
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Adjproof · cited by 1,346
- SimpleGraph.Walkstatement and proof · cited by 915
- Evenstatement · cited by 444
- Oddproof · cited by 364
- Nonempty.someproof · cited by 340
- SimpleGraph.Walk.lengthstatement and proof · cited by 212
- SimpleGraph.Walk.appendproof · cited by 95
- SimpleGraph.ConnectedComponentproof · cited by 86
- add_right_commproof · cited by 85
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