{"fqn":"KLean.Bio.TranslationRate.translationRate_pos","short":"translationRate_pos","module":"KLean.Bio.TranslationRate.TranslationRatePos","path":"KLean/Bio/TranslationRate/TranslationRatePos.lean","claim":null,"verified":true,"axiom_level":"kernel-standard","olean_sha256":"5337b312a60a2c47b4d056613566b038047ce6518a304bb523b32dd71f76cfac","quarantined":false,"statement":"theorem translationRate_pos (k ρ m : ℝ) (hk : 0 < k) (hρ : 0 < ρ) (hm : 0 < m) : 0 < translationRate k ρ m","topics":["biology"],"refs":[],"depends_on":["KLean.Bio.TranslationRate.Base","KLean.Misc.Basic"],"used_by":["KLean.Bio.TranslationRate","KLean.Bio.TranslationRate.TranslationRateIncreasesWithMRNA"],"compute":"/api/v1/klean/compute/translation_rate","seal":{"receipt_id":"d017cc7dffff572a7adc3c1d","digest":"ff9469cecfb2bfdf74174682d2499bf3dcc86c0d62e7197d6640fab11f61bd22","sealed_at":"2026-08-10T03:30:24.740384+00:00","time_source":"roughtime_chain"},"commit":"4b8413e1b8"}