OAI/Analysis/PeriodicLattice/EffectiveDerivatives.lean

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20 declarations, 0 contain sorry, 0 declared as axioms

Certified finite differences and uniform field evaluation.

  1. theorem OAI.PeriodicLattice.CertifiedReal.difference_bound line 22
  2. theorem OAI.PeriodicLattice.CertifiedReal.effective_words line 62
  3. theorem OAI.PeriodicLattice.CertifiedReal.quotient_error line 91
  4. theorem OAI.PeriodicLattice.RecursiveArithmetic.ratMax line 114
  5. theorem OAI.PeriodicLattice.EffectiveFields.validData_recursive line 128
  6. def OAI.PeriodicLattice.EffectiveFields.time line 130
  7. theorem OAI.PeriodicLattice.EffectiveFields.time_eq line 131
  8. theorem OAI.PeriodicLattice.EffectiveFields.time_nonneg line 132
  9. abbrev OAI.PeriodicLattice.EffectiveFields.BiPoint line 134
  10. def OAI.PeriodicLattice.EffectiveFields.biValue line 135
  11. def OAI.PeriodicLattice.EffectiveFields.biShift line 137
  12. theorem OAI.PeriodicLattice.EffectiveFields.biShift_recursive line 140
  13. def OAI.PeriodicLattice.EffectiveFields.biLine line 144
  14. theorem OAI.PeriodicLattice.EffectiveFields.biLine_zero line 146
  15. theorem OAI.PeriodicLattice.EffectiveFields.biLine_nonneg line 148
  16. theorem OAI.PeriodicLattice.EffectiveFields.biShift_value line 151
  17. theorem OAI.PeriodicLattice.EffectiveFields.biLine_deriv line 159
  18. theorem OAI.PeriodicLattice.EffectiveFields.bi_words line 171
  19. theorem OAI.PeriodicLattice.CertifiedReal.quadrature_bound line 199
  20. theorem OAI.PeriodicLattice.CertifiedReal.integral line 244