Theorems · Theorem · combinatorics
SimpleGraph.Walk.nil_rotate
∀ {V : Type u} {G : SimpleGraph V} {v u : V} [inst : DecidableEq V] {c : G.Walk v v} (h : u ∈ c.support),
(c.rotate u h).Nil ↔ c.Nil- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEq
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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.Walkstatement and proof · cited by 915
- SimpleGraph.Walk.supportstatement and proof · cited by 307
- SimpleGraph.Walk.lengthproof · cited by 212
- SimpleGraph.Walk.Nilstatement · cited by 102
- SimpleGraph.Walk.rotatestatement · cited by 25
- SimpleGraph.Walk.length_rotateproof · cited by 2
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