OAI/Computability/UniqueGames/Gadgets/Final.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.UniqueGamesTheorem.Gadget.exists_actual_gadget line 19

    Source documentation

    Actual finite gadget data, with a rank threshold independent of the final logical dimension and an arbitrarily small nonlinear change probability.

    theorem exists_actual_gadget (p : ℚ) (hp : 0 < p) :
        ∃ r : ℕ, 1 ≤ r ∧ ∀ ℓ : ℕ, r ≤ ℓ →
          ∃ g : UniqueGamesTheorem.Gadget.ActualGadget.Data (Vector ℓ),
            UniqueGamesTheorem.Gadget.ActualGadget.Satisfies g p (7 / 8) r := by
    …

    Mentions: OAI.UniqueGamesTheorem.Gadget.ActualGadget.Data, OAI.UniqueGamesTheorem.Gadget.ActualGadget.Satisfies

  2. theorem OAI.UniqueGamesTheorem.Gadget.exists_split_gadget line 68