OAI/Analysis/SphereIsometry/ChordContradiction.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

A genuinely aligned positive-defect configuration is impossible.

  1. theorem OAI.Tingley.alignedConfiguration_impossible line 18

    Source documentation

    The global bound and the actual aligned chords contradict one another. The two small-regime inequalities are proved from the original and literal inverse configurations; neither is an additional caller premise.

    theorem alignedConfiguration_impossible (hM : 0 < M) (ht : 0 < t ∧ t < 1)
        (hb : HasDefectBound f M) (C : AlignedConfiguration f y t M) : False := by
    …

    Mentions: OAI.Tingley.HasDefectBound, OAI.Tingley.AlignedConfiguration