OAI/Analysis/PathSelection/LowerRatios.lean

GitHub source file

18 declarations, 0 contain sorry, 0 declared as axioms

Lower Hardy fields, vanishing Puiseux ratios and leading-term comparison.

  1. lemma OAI.DegeneratingTrees.Clock.PuiseuxSector.real_puiseux line 16
  2. lemma OAI.DegeneratingTrees.Clock.sector_real_derivative line 23
  3. lemma OAI.DegeneratingTrees.Clock.eventually_monotone_bounded_limit line 35
  4. lemma OAI.DegeneratingTrees.Clock.PuiseuxSector.real_monotone line 58
  5. lemma OAI.DegeneratingTrees.Clock.PuiseuxSector.positive_bounded_limit line 66
  6. lemma OAI.DegeneratingTrees.Clock.positive_vanishing_not_deriv_nonneg line 88
  7. lemma OAI.DegeneratingTrees.Clock.Puiseux.positive_vanishing_derivative_negative line 104
  8. lemma OAI.DegeneratingTrees.Clock.PuiseuxSector.ray_nonzero_to_sector line 114
  9. lemma OAI.DegeneratingTrees.Clock.PuiseuxSector.vanishing_ratio_data line 121
  10. lemma OAI.DegeneratingTrees.Clock.real_nonzero_eventually_sign line 167
  11. lemma OAI.DegeneratingTrees.Clock.LowerSectorData.ray_nonzero_to_sector line 187
  12. lemma OAI.DegeneratingTrees.Clock.LowerSectorData.real_derivative_sign line 195
  13. lemma OAI.DegeneratingTrees.Clock.LowerSectorData.real_monotone line 223
  14. lemma OAI.DegeneratingTrees.Clock.LowerSectorData.positive_bounded_limit line 245
  15. lemma OAI.DegeneratingTrees.Clock.LowerSectorData.vanishing_ratio_data line 268
  16. lemma OAI.DegeneratingTrees.Clock.ExpSmall.relative_quotient line 316
  17. lemma OAI.DegeneratingTrees.Clock.normalized_equal_exponent_ratio line 331
  18. lemma OAI.DegeneratingTrees.Clock.lower_ratio_bounded line 348