Prove the smooth Carathéodory and Loewner counterexamples - #5070
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Paul-Lez wants to merge 41 commits into
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Prove the smooth Carathéodory and Loewner counterexamples#5070Paul-Lez wants to merge 41 commits into
Paul-Lez wants to merge 41 commits into
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…ments' into HEAD # Conflicts: # FormalConjectures/Other/CaratheodoryConjecture.lean # FormalConjectures/Other/LoewnerConjecture.lean # FormalConjecturesForMathlib.lean # FormalConjecturesForMathlib/Geometry/3d.lean # FormalConjecturesForMathlib/Geometry/EuclideanHypersurface.lean # FormalConjecturesForMathlib/Geometry/SphereImmersion.lean # FormalConjecturesForMathlib/Geometry/SphereImmersionRegularity.lean
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Depends on #5066.
(I'm currently checking this - didn't mean to open a PR, so please ignore! - the goal is probably just to have a link to give to a formal_proof annotation)
Update: this now also proves the fundamental-form formulation added to #5066. The reusable equivalence lemmas and the corresponding counterexample adaptation are included here, so no separate follow-up PR is needed.
The Lean proof was developed with Codex and parallel proof-review agents.