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LeanPool.ConwaySoifer.Simplified.Normalization

Normalization #

Geometry and verified arithmetic for the Conway–Soifer covering theorem at n = 3.

theorem ConwaySoifer.Simplified.exists_canonical (r : ℝ) (T : Configuration) (hside : CommonSide T r) (hcover : Covers T) (hr : r < 1) :
∃ (c : ContactCase) (U : Configuration) (s : ℝ), Canonical c U r s

Unconditional geometric normalization for the simplified route. It uses no coreChecked, bridgeChecked, or midForbidChecked evaluations.