OAI/Combinatorics/ContingencyTables/Dense/DenseCoefficients.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

Coefficients of normalized dense entries

Reordering maximum margins to the pivot makes each contributing free-cell scale no larger than the dependent-cell scale. Thus every normalized coefficient is bounded by 1/B, as required by the actual penalty proof.

  1. def OAI.ContingencyTables.DenseAffine.entryOffset line 19
  2. def OAI.ContingencyTables.DenseAffine.entryCoeff line 25
  3. theorem OAI.ContingencyTables.DenseAffine.table_affine line 31
  4. def OAI.ContingencyTables.DenseAffine.cellScale line 44
  5. theorem OAI.ContingencyTables.DenseAffine.entryCoeff_bound line 48
  6. theorem OAI.ContingencyTables.DenseAffine.normalized_table_affine line 86
  7. theorem OAI.ContingencyTables.DenseAffine.normalized_coeff_bound line 100