Download lean/OAI/Computability/UniqueGames/Inverse/ShortcodeTheorem.lean from roseking/openAI-math-dataset: direct link, hf CLI and curl.
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- Download file 805 Bytes
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https://huggingface.co/datasets/roseking/openAI-math-dataset/resolve/main/lean/OAI/Computability/UniqueGames/Inverse/ShortcodeTheorem.lean
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hf download hf://datasets/roseking/openAI-math-dataset/lean/OAI/Computability/UniqueGames/Inverse/ShortcodeTheorem.lean
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curl -L -o ShortcodeTheorem.lean https://huggingface.co/datasets/roseking/openAI-math-dataset/resolve/main/lean/OAI/Computability/UniqueGames/Inverse/ShortcodeTheorem.lean
805 Bytes
| 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 | |