OAI/GroupTheory/PolycyclicRecognition/Geometry/CharacterHemisphereContraction.lean

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From a character hemisphere to a single contracting direction

Compact positive identities decrease the squared distance to the negative ray. Integral translates of a bounded layer have finitely many representatives. Together these prove finite generation over the inverse cyclic action.

  1. theorem OAI.PolycyclicRecognition.finite_cyclicMonoidModule_of_character_hemisphere line 20