{"fqn":"KLean.Bio.RatioMonotone.ratio_pos","short":"ratio_pos","module":"KLean.Bio.RatioMonotone.RatioPos","path":"KLean/Bio/RatioMonotone/RatioPos.lean","claim":"Ratio is strictly positive when NADH is positive.","verified":null,"axiom_level":"kernel-standard","olean_sha256":null,"quarantined":false,"statement":"theorem ratio_pos (r : NADReading) (hNADH : 0 < r.nadh) : 0 < ratio r hNADH","topics":["biology"],"refs":[],"depends_on":["KLean.Atoms.Quantum.ConjugateCubeChirality","KLean.Atoms.Quantum.GaussianTripleDefs","KLean.Bio.RatioMonotone.Base","KLean.Bio.RatioMonotone.NadPlusPos","KLean.Misc.Basic"],"used_by":["KLean.Bio.RatioMonotone","KLean.Bio.RatioMonotone.HealthyRatioGt1","KLean.Bio.RatioMonotone.RatioDecreasing","KLean.Bio.RatioMonotone.RatioIncreasing"],"compute":"/api/v1/klean/compute/nad_ratio","seal":{"receipt_id":"d017cc7dffff572a7adc3c1d","digest":"ff9469cecfb2bfdf74174682d2499bf3dcc86c0d62e7197d6640fab11f61bd22","sealed_at":"2026-08-10T03:30:24.740384+00:00","time_source":"roughtime_chain"},"commit":"4b8413e1b8"}