{"fqn":"KLean.Bio.Boltzmann.probability_pos","short":"probability_pos","module":"KLean.Bio.Boltzmann.ProbabilityPos","path":"KLean/Bio/Boltzmann/ProbabilityPos.lean","claim":"Probability is positive when Z > 0","verified":null,"axiom_level":"kernel-standard","olean_sha256":null,"quarantined":false,"statement":"theorem probability_pos (E T Z : ℝ) (hZ : 0 < Z) : 0 < probability E T Z","topics":["biology"],"refs":[],"depends_on":["KLean.Bio.Boltzmann.Base","KLean.Bio.Boltzmann.BoltzmannFactorPos","KLean.Misc.Basic"],"used_by":["KLean.Bio.Boltzmann","KLean.Bio.Boltzmann.ProbabilityLeOne"],"compute":"/api/v1/klean/compute/boltzmann_probability","seal":{"receipt_id":"d017cc7dffff572a7adc3c1d","digest":"ff9469cecfb2bfdf74174682d2499bf3dcc86c0d62e7197d6640fab11f61bd22","sealed_at":"2026-08-10T03:30:24.740384+00:00","time_source":"roughtime_chain"},"commit":"4b8413e1b8"}