OAI/GroupTheory/PolycyclicRecognition/Algebra/EigenlineCones.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Nonzero eigenline cones and separation

Explicit functional inequalities separate cones around different lines and bound their distance from a repelling hyperplane. These are the geometric conditions used by the contracting ping-pong argument.

  1. def OAI.PolycyclicRecognition.eigenlineCone line 17
  2. theorem OAI.PolycyclicRecognition.eigenlineCone_functional_ne_zero line 20
  3. theorem OAI.PolycyclicRecognition.eigenline_cone_functional_upper line 26
  4. theorem OAI.PolycyclicRecognition.eigenline_cone_transverse_nonzero line 41
  5. theorem OAI.PolycyclicRecognition.eigenline_cones_disjoint_of_separator line 48