OAI/Analysis/JiangSu/DimensionFunctions/FiniteSpectralIntegralPositivity.lean

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13 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.Pureness.finiteSpectralIntegral_cut_lower_bound line 18
  2. theorem OAI.Pureness.finiteSpectralIntegral_pos line 35
  3. theorem OAI.Pureness.regularizedState_positive_nonzero line 48
  4. theorem OAI.Pureness.regularizedState_integral_finite line 60
  5. theorem OAI.Pureness.regularizedState_integral_positive line 68
  6. theorem OAI.Pureness.regularizedState_integral_unit line 78
  7. lemma OAI.Pureness.finiteSpectralIntegral_root_cut_lower line 93
  8. theorem OAI.Pureness.finiteSpectralIntegral_cut_le_iSup_roots line 105
  9. theorem OAI.Pureness.finiteSpectralIntegral_iSup_roots line 142
  10. theorem OAI.Pureness.finiteSpectralIntegral_roots_tendsto_contraction line 154
  11. theorem OAI.Pureness.finiteSpectralIntegral_roots_tendsto line 164
  12. theorem OAI.Pureness.finiteSpectralIntegral_root_rank line 189
  13. theorem OAI.Pureness.regularizedFiniteDimension_integral_roots_tendsto line 197