OAI/Analysis/IrrationalRotation/Operators/BicommutantAmplification.lean

GitHub source file

15 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.Invariant233.BicommutantDensity.Amplification line 15
  2. def OAI.Invariant233.BicommutantDensity.amplify line 17
  3. theorem OAI.Invariant233.BicommutantDensity.amplify_apply line 22
  4. def OAI.Invariant233.BicommutantDensity.amplifyHom line 25
  5. theorem OAI.Invariant233.BicommutantDensity.amplifyHom_apply line 39
  6. def OAI.Invariant233.BicommutantDensity.insert line 43
  7. theorem OAI.Invariant233.BicommutantDensity.insert_apply line 48
  8. def OAI.Invariant233.BicommutantDensity.entry line 52
  9. theorem OAI.Invariant233.BicommutantDensity.entry_apply line 57
  10. theorem OAI.Invariant233.BicommutantDensity.amplify_insert line 61
  11. theorem OAI.Invariant233.BicommutantDensity.sum_insert line 68
  12. theorem OAI.Invariant233.BicommutantDensity.apply_eq_sum_entry line 74
  13. theorem OAI.Invariant233.BicommutantDensity.entry_commutes line 82
  14. theorem OAI.Invariant233.BicommutantDensity.amplify_commutes_of_entries line 91
  15. theorem OAI.Invariant233.BicommutantDensity.amplify_mem_bicommutant line 103