OAI/GroupTheory/PolycyclicRecognition/Algebra/MidpointGrids.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

Finite dyadic grids obtained by inserting metric midpoints

  1. def OAI.PolycyclicRecognition.HasMetricMidpoints line 12
  2. def OAI.PolycyclicRecognition.metricMidpoint line 15
  3. theorem OAI.PolycyclicRecognition.metricMidpoint_left line 18
  4. theorem OAI.PolycyclicRecognition.metricMidpoint_right line 22
  5. def OAI.PolycyclicRecognition.midpointGrid line 26
  6. theorem OAI.PolycyclicRecognition.midpointGrid_even line 32
  7. theorem OAI.PolycyclicRecognition.midpointGrid_odd line 36
  8. theorem OAI.PolycyclicRecognition.midpointGrid_zero line 41
  9. theorem OAI.PolycyclicRecognition.midpointGrid_last line 47
  10. theorem OAI.PolycyclicRecognition.midpointGrid_adjacent line 53
  11. theorem OAI.PolycyclicRecognition.midpointGrid_dist line 80