OAI/GroupTheory/PolycyclicRecognition/Algebra/ApproximateMidpointProper.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Properness of locally compact invariant metrics with approximate midpoints

  1. def OAI.PolycyclicRecognition.HasApproximateMidpoints line 15

    Source documentation

    The length-space consequence needed for properness and minimizing segments.

    def HasApproximateMidpoints (X : Type*) [PseudoMetricSpace X] : Prop :=
…
  2. theorem OAI.PolycyclicRecognition.closedBall_subset_mul_of_approximateMidpoints line 23
  3. theorem OAI.PolycyclicRecognition.properSpace_of_approximateMidpoints line 38