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LeanPool.ConwaySoifer.Simplified.Geometry.BridgeLocal

Explicit real support fans for the handwritten geometric point set. The polynomial decompositions are proved by ring; their signs by positivity. Each cone carries one fixed triple on both endpoints. No Boolean checker is used.

noncomputable def ConwaySoifer.Simplified.bridgeLocalPoint (s : ℝ) :
Fin 5 → Point

The five-point configuration used to exclude an owner bridging local sections.

Equations
  • One or more equations did not get rendered due to their size.
Instances For
    theorem ConwaySoifer.Simplified.bridgeLocal_obstruction {Q : EquilateralTriangle} {s : ℝ} (hs0 : 0 < s) (hs : s ≤ 1 / 3) (hq : 0 < Q.side) (hpts : ∀ (i : Fin 5), bridgeLocalPoint s i ∈ Q.carrier) :
    1 ≤ Q.side