{ "assessment": "falsified", "literal_reason": "The registered strict-positivity clause fails at the Corollary-2 identity-covariance constant-b boundary, where lambda=b and both exact and displayed optimal risks are zero.", "nonuniform_positive_optimal_risk": 0.013199999999999996, "proportionality_cells": [ { "b": 0.025, "lambda_star": 0.025, "ratio": 1.0 }, { "b": 0.05, "lambda_star": 0.05, "ratio": 1.0 }, { "b": 0.1, "lambda_star": 0.1, "ratio": 1.0 }, { "b": 0.2, "lambda_star": 0.2, "ratio": 1.0 }, { "b": 0.3, "lambda_star": 0.3, "ratio": 1.0 } ], "registered_conjunction_false": true, "uniform_exact_fixed_point_risk": 0.0, "uniform_lambda_star": 0.2, "uniform_leading_optimal_risk": 6.938893903907228e-18, "uniform_nonzero_b": 0.2 }