OAI/Analysis/IrrationalRotation/Product/IndependentAngles.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.InvariantProjection.IndependentAngles.ae_add_ne_of_indep line 20
  2. theorem OAI.InvariantProjection.IndependentAngles.nullSingletonClass_map_mul line 33
  3. theorem OAI.InvariantProjection.IndependentAngles.ae_finset_sum_ne line 49
  4. theorem OAI.InvariantProjection.IndependentAngles.ae_finsupp_sum_ne line 72
  5. theorem OAI.InvariantProjection.IndependentAngles.ae_no_rational_affine_relation line 83
  6. theorem OAI.InvariantProjection.IndependentAngles.ae_linearIndependent_with_one line 99
  7. theorem OAI.InvariantProjection.IndependentAngles.infinitePi_ae_linearIndependent_with_one line 118
  8. theorem OAI.InvariantProjection.IndependentAngles.exists_linearIndependent_with_one_and line 134
  9. theorem OAI.InvariantProjection.IndependentAngles.intervalLaw_isProbabilityMeasure line 141
  10. theorem OAI.InvariantProjection.IndependentAngles.intervalLaw_nullSingletonClass line 149
  11. theorem OAI.InvariantProjection.IndependentAngles.intervalProduct_ae_bounds_linearIndependent line 155
  12. theorem OAI.InvariantProjection.IndependentAngles.exists_interval_bounds_linearIndependent line 173
  13. theorem OAI.InvariantProjection.IndependentAngles.prescribedIntervals_ae_summable_independent line 182
  14. theorem OAI.InvariantProjection.IndependentAngles.exists_prescribed_summable_independent_and line 206