outputs/propositions_check.json

{
 "P1a_max_abs_err": 2.220446049250313e-15,
 "P1a_verdict": "holds exactly",
 "P1b_verdict": "holds",
 "P1c_mean_entropy_spread_bits": 0.6907108732320559,
 "P1c_verdict": "approximation, not identity",
 "P2a_traj_mi": [
  0.0,
  0.08130655320509117,
  0.08151301248883902,
  0.12157382587737153,
  0.6690080482387852
 ],
 "P2a_I_full": 0.6690080482387852,
 "P2a_avg_traj": 0.1906802879620174,
 "P2a_ratio": 0.28501942310559314,
 "P2b_verdict": "invalid: replaces bound RHS with strictly smaller quantity, keeps <=",
 "P2c_verdict": "RHS is sampler-independent except via G/T; CCD-DS loosens it ~3.4x"
}