OAI/GroupTheory/SimpleAmenable/Arithmetic/QuadraticTiles.lean

GitHub source file

15 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.SimpleAmenable.cutUnit_abs_norm line 16
  2. theorem OAI.SimpleAmenable.cutTau_sub_one_isUnit line 22
  3. theorem OAI.SimpleAmenable.balanced_cutUnit line 26
  4. def OAI.SimpleAmenable.quadraticScaledMatrix line 54
  5. theorem OAI.SimpleAmenable.quadraticScaledMatrix_det line 58
  6. theorem OAI.SimpleAmenable.quadraticScaledMatrix_det_ne line 65
  7. def OAI.SimpleAmenable.quadraticScaledBasis line 75
  8. theorem OAI.SimpleAmenable.quadraticScaledBasis_apply line 80
  9. theorem OAI.SimpleAmenable.quadraticScaledBasis_volume line 87
  10. def OAI.SimpleAmenable.quadraticScaledEmbedding line 102
  11. theorem OAI.SimpleAmenable.quadraticScaledEmbedding_injective line 107
  12. theorem OAI.SimpleAmenable.quadraticScaledBasis_zero line 114
  13. theorem OAI.SimpleAmenable.quadraticScaledBasis_one line 121
  14. theorem OAI.SimpleAmenable.quadraticScaledBasis_span line 128
  15. theorem OAI.SimpleAmenable.quadraticScaledTile_bound line 161