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9b6e014 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 | import Mathlib
import OAI.Probability.BinarySweep.Model
import OAI.Probability.BinarySweep.Conditional.ConditionalSign
import OAI.Probability.BinarySweep.Mixing.BinaryMixingBounds
namespace OAI
open scoped BigOperators
theorem binary_sweep_contraction_and_mixing :
BinaryCoordinateSweeps.BinaryContractionTarget ∧
(∀ d : ℕ, 0 < d → ∑ g : Equiv.Perm (BinaryCoordinateSweeps.Slot d),
BinaryCoordinateSweeps.binaryLaw d g * BinaryCoordinateSweeps.realSign g = 0) ∧
BinaryCoordinateSweeps.UniformSweepMixingTarget :=
BinaryCoordinateSweeps.binary_main
end OAI
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