OAI/Combinatorics/ContingencyTables/Counting/CompanionFlatReturnProgram.lean
20 declarations, 0 contain sorry, 0 declared as axioms
A bounded flat word for the actual capped-return program
- abbrev
OAI.ContingencyTables.CompanionFlatReturnProgram.Inputline 14 - def
OAI.ContingencyTables.CompanionFlatReturnProgram.widthInputline 16 - def
OAI.ContingencyTables.CompanionFlatReturnProgram.widthInputRealizerline 18 - lemma
OAI.ContingencyTables.CompanionFlatReturnProgram.polynomial_widthInputline 21 - def
OAI.ContingencyTables.CompanionFlatReturnProgram.widthline 28 - def
OAI.ContingencyTables.CompanionFlatReturnProgram.widthRealizerline 29 - lemma
OAI.ContingencyTables.CompanionFlatReturnProgram.polynomial_widthline 32 - def
OAI.ContingencyTables.CompanionFlatReturnProgram.wordsline 35 - def
OAI.ContingencyTables.CompanionFlatReturnProgram.wordsRealizerline 36 - lemma
OAI.ContingencyTables.CompanionFlatReturnProgram.polynomial_wordsline 41 - def
OAI.ContingencyTables.CompanionFlatReturnProgram.returnInputline 46 - def
OAI.ContingencyTables.CompanionFlatReturnProgram.returnInputRealizerline 47 - lemma
OAI.ContingencyTables.CompanionFlatReturnProgram.polynomial_returnInputline 49 - def
OAI.ContingencyTables.CompanionFlatReturnProgram.outputline 52 - def
OAI.ContingencyTables.CompanionFlatReturnProgram.outputRealizerline 53 - theorem
OAI.ContingencyTables.CompanionFlatReturnProgram.polynomial_outputline 56 - def
OAI.ContingencyTables.CompanionFlatReturnProgram.stateDataline 67 - def
OAI.ContingencyTables.CompanionFlatReturnProgram.dataline 76 - lemma
OAI.ContingencyTables.CompanionFlatReturnProgram.words_dataline 82 - theorem
OAI.ContingencyTables.CompanionFlatReturnProgram.output_sameLawline 101Source documentation
This law includes the computed return scan, missing-return fallback, and the independent words of every step.
theorem output_sameLaw (A : Instance (Fin m) (Fin n)) (C K j k N : ℕ) (hC : 0 < C) (hj : j ≤ rationalHeight A C) (hK : 1 ≤ K) (hW : 100*A.d*K ≤ A.W) (hB : (K:ℝ)=CompanionOracleDensity.binWidth A C) (xi : ℚ) (hxi : 0 < xi) (z : View A → ℕ) (v : Grid (I := Fin (RootedCatalogGrid.freeCount A)) K) (degree depth : List Bool) …Mentions: OAI.ContingencyTables.CompanionOracleDensity.binWidth, OAI.ContingencyTables.RootedCatalogGrid.freeCount