OAI/Probability/LogConcave/LowerBounds/CouplingNoise.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.LogConcaveSampling.LowerBound.CouplingNoise line 19
  2. def OAI.LogConcaveSampling.LowerBound.couplingLaw line 22
  3. instance OAI.LogConcaveSampling.LowerBound.couplingLaw_probability line 27
  4. def OAI.LogConcaveSampling.LowerBound.couplingState line 31
  5. lemma OAI.LogConcaveSampling.LowerBound.measurable_couplingState line 36
  6. lemma OAI.LogConcaveSampling.LowerBound.couplingState_law line 43
  7. theorem OAI.LogConcaveSampling.LowerBound.coupling_complete_law line 62
  8. lemma OAI.LogConcaveSampling.LowerBound.revealRun_tape line 75
  9. def OAI.LogConcaveSampling.LowerBound.couplingColumns line 93
  10. lemma OAI.LogConcaveSampling.LowerBound.measurable_couplingColumns line 97
  11. lemma OAI.LogConcaveSampling.LowerBound.tapeHull_le_couplingColumns line 106
  12. theorem OAI.LogConcaveSampling.LowerBound.coupling_output_span line 120
  13. theorem OAI.LogConcaveSampling.LowerBound.coupling_output_correct line 156