OAI/Combinatorics/Progressions/Sampling/SamplingRankProjectedContainment.lean

GitHub source file

30 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Erdos3.HasLayerSamplingRank line 15
  2. theorem OAI.Erdos3.HasLayerSamplingRank.not_approximation line 23
  3. theorem OAI.Erdos3.VectorPolynomial.integerRowPolynomial_homogeneousPart line 41
  4. theorem OAI.Erdos3.hasLayerSamplingRank_homogeneousPart_iff line 47
  5. def OAI.Erdos3.VectorPolynomial.samplingRankProjection line 68
  6. theorem OAI.Erdos3.VectorPolynomial.samplingRankProjection_apply line 72
  7. theorem OAI.Erdos3.VectorPolynomial.samplingRankProjection_mem line 75
  8. theorem OAI.Erdos3.VectorPolynomial.samplingRankCut_decomposition line 85
  9. theorem OAI.Erdos3.VectorPolynomial.samplingRankCut_finrank_lt line 95
  10. theorem OAI.Erdos3.VectorPolynomial.exists_samplingRankCut line 105
  11. theorem OAI.Erdos3.HasLayerSamplingRank.mono line 141
  12. theorem OAI.Erdos3.HasLayerSamplingRank.inv_nat_smul line 157
  13. theorem OAI.Erdos3.HasLayerSamplingRank.div_nat line 171
  14. theorem OAI.Erdos3.hasLayerSamplingRank_translate_iff line 189
  15. theorem OAI.Erdos3.exists_bounded_rational_unit_preimage line 208
  16. theorem OAI.Erdos3.exists_bounded_joint_rational_section line 231
  17. def OAI.Erdos3.VectorPolynomial.jointRationalSpace line 297
  18. def OAI.Erdos3.VectorPolynomial.appendRankCutRow line 302
  19. theorem OAI.Erdos3.VectorPolynomial.jointRationalSpace_appendRankCutRow line 306
  20. theorem OAI.Erdos3.VectorPolynomial.appendRankCutRow_height line 334
  21. theorem OAI.Erdos3.VectorPolynomial.exists_bounded_joint_rational_direction line 348
  22. theorem OAI.Erdos3.VectorPolynomial.exists_bounded_samplingRankCut line 399
  23. theorem OAI.Erdos3.exists_bounded_rational_unit_preimage_of_real_solution line 447
  24. theorem OAI.Erdos3.PolynomialRationalApproximation.homogeneous_decomposition line 478
  25. theorem OAI.Erdos3.VectorPolynomial.integerRowPolynomial_totalDegree_le line 508
  26. theorem OAI.Erdos3.VectorPolynomial.samplingRankCut_homogeneous_split line 517
  27. theorem OAI.Erdos3.integerRowPolynomial_coefficientGrid line 565
  28. theorem OAI.Erdos3.integerRowPolynomial_homogeneous_approximation_of_decomposition line 582
  29. theorem OAI.Erdos3.vectorPolynomial_coefficientGrid_of_coordinateGrids line 636
  30. theorem OAI.Erdos3.samplingRank_le_real_column_span_of_decomposition line 649