OAI/Topology/ArtinGroups/ParabolicIntersections/TreeShortcutAcylindrical.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Uniform acylindricity of the graph obtained by coning off segment-free paths.
- theorem
OAI.HarmonicArtin.ParabolicIntersections.TreeAction.avoidingGraph_acylindrical_countline 15Source documentation
The constants depend only on displacement and on the chosen free segment, even when the original tree has infinite-valence vertices.
theorem avoidingGraph_acylindrical_count (hT : T.IsTree) (hA : PreservesAdj (G := G) T) (hfree : pairStabilizer (G := G) u v=⊥) …Mentions: OAI.HarmonicArtin.ParabolicIntersections.TreeAction.PreservesAdj, OAI.HarmonicArtin.ParabolicIntersections.TreeAction.pairStabilizer