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760f90e | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 | import OAI.Computability.UniqueGames.Inverse.KMSAnalyticHybridEnergyLemmas
import OAI.Computability.UniqueGames.Inverse.ShortcodeFromGrassmannLemmas
namespace OAI
section
/-! The Grassmann theorem, chart retention, zero-factor correction,
output-fiber extraction, and affine row/column slice construction yield the
unconditional affine matrix inverse theorem. -/
namespace UniqueGamesTheorem.Inverse.ShortcodeTheorem
noncomputable section
/-- Full-factor sampling includes zero. The conclusion retains an affine
intercept and applies to arbitrary matrix labelings without a folding premise. -/
theorem inversePrinciple : Shortcode.InversePrinciple :=
ShortcodeFromGrassmann.inversePrinciple_of_expansion KMSExpansion.kms_expansion
end
end UniqueGamesTheorem.Inverse.ShortcodeTheorem
end
end OAI
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