OAI/Combinatorics/Progressions/Polynomial/QuantitativeOuterPolynomialProducts.lean

GitHub source file

36 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Erdos3.VectorPolynomial.CoefficientBound line 21
  2. def OAI.Erdos3.VectorPolynomial.CoefficientGrid line 25
  3. theorem OAI.Erdos3.VectorPolynomial.coefficientBound_iff_norm line 28
  4. theorem OAI.Erdos3.VectorPolynomial.CoefficientBound.mono line 38
  5. theorem OAI.Erdos3.VectorPolynomial.CoefficientBound.neg line 44
  6. theorem OAI.Erdos3.VectorPolynomial.CoefficientBound.sub line 49
  7. theorem OAI.Erdos3.VectorPolynomial.CoefficientGrid.sub line 56
  8. theorem OAI.Erdos3.NilpotentLieFiltration.gradedPolynomial_mem_adapted line 72
  9. theorem OAI.Erdos3.NilpotentLieFiltration.shiftedGradedPolynomial_mem_adapted line 82
  10. theorem OAI.Erdos3.NilpotentLieFiltration.exists_real_adapted_representation line 93
  11. theorem OAI.Erdos3.NilpotentLieFiltration.realAdaptedCoefficientBound_iff_formal line 99
  12. theorem OAI.Erdos3.NilpotentLieFiltration.realAdaptedCoefficientGrid_iff_formal line 105
  13. def OAI.Erdos3.NilpotentLieFiltration.adaptedFullPolynomialHom line 131
  14. theorem OAI.Erdos3.NilpotentLieFiltration.adaptedFullPolynomialHom_coord line 135
  15. theorem OAI.Erdos3.NilpotentLieFiltration.exists_adapted_polynomial_list_lift line 139
  16. theorem OAI.Erdos3.NilpotentLieFiltration.polynomialRationalGrid_iff_formal line 152
  17. theorem OAI.Erdos3.NilpotentLieFiltration.polynomialSlowBound_iff_formal line 164
  18. theorem OAI.Erdos3.NilpotentLieFiltration.exists_formal_polynomial_product_bound line 171
  19. theorem OAI.Erdos3.NilpotentLieFiltration.exists_formal_polynomial_product_grid line 200
  20. def OAI.Erdos3.sectionCorrectedPolynomial line 248
  21. theorem OAI.Erdos3.sectionCorrectedPolynomial_coefficients line 254
  22. theorem OAI.Erdos3.sectionCorrectedPolynomial_coefficient_norm line 265
  23. theorem OAI.Erdos3.sectionCorrectedPolynomial_denominator_bounds line 288
  24. theorem OAI.Erdos3.sectionCorrectedPolynomial_coefficient_grid line 305
  25. theorem OAI.Erdos3.sectionCorrectedPolynomial_coefficientBound line 339
  26. theorem OAI.Erdos3.sectionCorrectedPolynomial_coefficientGrid line 358
  27. def OAI.Erdos3.VectorPolynomial.positiveUnivariate line 385
  28. theorem OAI.Erdos3.VectorPolynomial.positiveUnivariate_coefficient line 388
  29. theorem OAI.Erdos3.VectorPolynomial.positiveUnivariate_coefficient_eq_zero line 404
  30. theorem OAI.Erdos3.VectorPolynomial.positiveUnivariate_zero line 411
  31. theorem OAI.Erdos3.VectorPolynomial.positiveUnivariate_coefficients_mem line 418
  32. theorem OAI.Erdos3.VectorPolynomial.positiveUnivariate_coefficientBound line 431
  33. theorem OAI.Erdos3.VectorPolynomial.positiveUnivariate_coefficientGrid line 445
  34. theorem OAI.Erdos3.VectorPolynomial.coordinate_scalarAffine line 470
  35. theorem OAI.Erdos3.VectorPolynomial.CoefficientBound.scalarAffine line 484
  36. theorem OAI.Erdos3.NilpotentLieFiltration.exists_outer_polynomial_product_bounds line 526