OAI/Geometry/SmoothYau/Smoothness/MultilinearPolynomial.lean

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30 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.YauCounterexamples.directionalJet line 14
  2. theorem OAI.YauCounterexamples.directionalJet_nil line 18
  3. theorem OAI.YauCounterexamples.directionalJet_cons line 19
  4. lemma OAI.YauCounterexamples.contDiff_directionalJet line 22
  5. lemma OAI.YauCounterexamples.directionalJet_swap line 29
  6. lemma OAI.YauCounterexamples.directionalJet_perm line 43
  7. lemma OAI.YauCounterexamples.iteratedFDeriv_eq_directionalJet line 51
  8. theorem OAI.YauCounterexamples.smooth_iteratedFDeriv_comp_perm line 64
  9. def OAI.YauCounterexamples.finiteTaylorFunction line 70
  10. lemma OAI.YauCounterexamples.contDiff_finiteTaylorFunction line 74
  11. theorem OAI.YauCounterexamples.iteratedFDeriv_finiteTaylorFunction line 81
  12. theorem OAI.YauCounterexamples.finiteTaylorFunction_remainder_jet line 109
  13. def OAI.YauCounterexamples.realPolyEval line 131
  14. theorem OAI.YauCounterexamples.realPolyEval_C line 134
  15. theorem OAI.YauCounterexamples.realPolyEval_X line 136
  16. theorem OAI.YauCounterexamples.realPolyEval_add line 138
  17. theorem OAI.YauCounterexamples.realPolyEval_mul line 140
  18. theorem OAI.YauCounterexamples.realPolyEval_zero line 142
  19. theorem OAI.YauCounterexamples.realPolyEval_one line 144
  20. theorem OAI.YauCounterexamples.contDiff_realPolyEval line 149
  21. theorem OAI.YauCounterexamples.fderiv_realPolyEval line 163
  22. def OAI.YauCounterexamples.realPolyDerivEmbed line 195
  23. theorem OAI.YauCounterexamples.realPolyDerivEmbed_apply line 198
  24. theorem OAI.YauCounterexamples.fderiv_realPolyEval_eq line 202
  25. theorem OAI.YauCounterexamples.realPolyEval_jet_zero_of_coeff line 209
  26. def OAI.YauCounterexamples.multilinearPolynomial line 250
  27. theorem OAI.YauCounterexamples.realPolyEval_multilinearPolynomial line 253
  28. def OAI.YauCounterexamples.realTaylorPolynomial line 274
  29. theorem OAI.YauCounterexamples.realPolyEval_realTaylorPolynomial line 278
  30. theorem OAI.YauCounterexamples.realTaylorPolynomial_jet line 290