OAI/Analysis/SphereIsometry/ChordContradiction.lean
1 declarations, 0 contain sorry, 0 declared as axioms
A genuinely aligned positive-defect configuration is impossible.
- theorem
OAI.Tingley.alignedConfiguration_impossibleline 18Source 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