| 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 | |