NashEmbedding witness tests: realizable metrics + Theorem A #
Concrete witness checks for NashEmbedding/Torus/RealizableMetrics.lean and
NashEmbedding/Torus/Approximation/SmoothMetricApprox.lean:
- TN1 — closure under addition (
realizable_sum). - TN2 — closure under non-negative scaling (
realizable_nonneg_smul). - TN3 —
injRealizable_posDef: injectively realizable ⟹ pos-def smooth. - TN4 —
convex_combination_approxinvocation on the flat metric.