OAI/Analysis/JiangSu/Excision/PureStateCarrier.lean

GitHub source file

18 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.PureStateExcision.realStateCarrier line 14
  2. lemma OAI.PureStateExcision.realStateCarrier_isCompact line 17
  3. lemma OAI.PureStateExcision.realStateCarrier_nonempty line 30
  4. lemma OAI.PureStateExcision.exists_extreme_realState line 35
  5. def OAI.PureStateExcision.toPositiveState line 43
  6. lemma OAI.PureStateExcision.toPositiveState_one line 53
  7. lemma OAI.PureStateExcision.toPositiveState_apply line 60
  8. def OAI.PureStateExcision.ofPositiveState line 65
  9. lemma OAI.PureStateExcision.ofPositiveState_mem line 68
  10. lemma OAI.PureStateExcision.positive_state_eq line 78
  11. lemma OAI.PureStateExcision.extreme_convex_decomposition line 92
  12. def OAI.PureStateExcision.normalizedPositive line 119
  13. lemma OAI.PureStateExcision.normalizedPositive_apply line 124
  14. lemma OAI.PureStateExcision.normalizedPositive_one line 127
  15. theorem OAI.PureStateExcision.extreme_positive_summand line 132
  16. lemma OAI.PureStateExcision.toPositiveState_ofPositiveState line 154
  17. lemma OAI.PureStateExcision.ofPositiveState_toPositiveState line 161
  18. theorem OAI.PureStateExcision.exists_pure_positive_state line 169