OAI/Computability/UniqueGames/Gadgets/Final.lean
2 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.UniqueGamesTheorem.Gadget.exists_actual_gadgetline 19Source 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
- theorem
OAI.UniqueGamesTheorem.Gadget.exists_split_gadgetline 68