OAI/Combinatorics/ContingencyTables/Sampling/FirstPaperSuccessRatio.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The stationary successful-pair ratio of the first sampler

  1. def OAI.ContingencyTables.SmallGraphProfiles.paperLarge line 17
  2. lemma OAI.ContingencyTables.SmallGraphProfiles.large_padding_rows line 20
  3. lemma OAI.ContingencyTables.SmallGraphProfiles.large_padding_columns line 31
  4. lemma OAI.ContingencyTables.SmallGraphProfiles.paper_padded_count_le line 43
  5. theorem OAI.ContingencyTables.SmallGraphProfiles.state_mass_le_original_count line 80

    Source documentation

    The numerator counts original tables through the padding bijection; the denominator counts all actual small-state/completion pairs.

    theorem state_mass_le_original_count (r : I → ℕ) (c : J → ℕ)
        (htotal : ∑ i,r i=∑ j,c j) (hd : 14 ≤ dimensionAllowance (I := I) (J := J)) :
    …
  6. theorem OAI.ContingencyTables.SmallGraphProfiles.stationary_success_ratio line 93