OAI/Combinatorics/ContingencyTables/Rooted/RootedPlainTrial.lean

GitHub source file

2 declarations, 0 contain sorry, 0 declared as axioms

A selected-root phase begun from its actual transversal law

  1. lemma OAI.ContingencyTables.RootedPlainTrial.lift_warm line 22
  2. theorem OAI.ContingencyTables.RootedPlainTrial.trial_failure line 46

    Source documentation

    The incoming law is the actual rational output law on transversals; only the comparison reference is warm.

    theorem trial_failure (A : Instance I J) (R : RootedCompletion.Selection A.T)
        (C : ℕ) (hC : 0 < C) (K j k N : ℕ)
        (hK : 1 ≤ K) (hW : 100*A.d*K ≤ A.W) (hB : (K:ℝ)=binWidth A C)
        (hj : j+1 ≤ rationalHeight A C) (xi : ℚ) (hx0 : 0 < xi) (hx1 : xi ≤ 1/4)
        (hPL : PublishedInputs.FiniteBoxPrekopaLeindler (dimension A))
        (hCheeger : PublishedInputs.FiniteCheeger (Grid (I := Fin (dimension A)) K))
    …

    Mentions: OAI.ContingencyTables.RootedCompletion.Selection, OAI.ContingencyTables.PublishedInputs.FiniteBoxPrekopaLeindler, OAI.ContingencyTables.PublishedInputs.FiniteCheeger