{"fqn":"KLean.Bio.MonodGrowth.growthRate_pos","short":"growthRate_pos","module":"KLean.Bio.MonodGrowth.GrowthRatePos","path":"KLean/Bio/MonodGrowth/GrowthRatePos.lean","claim":null,"verified":true,"axiom_level":"kernel-standard","olean_sha256":"892efd0dd64c72ef9751be287c94dadf7643892f247160cc5d9ee76f65a0db68","quarantined":false,"statement":"theorem growthRate_pos (μmax Ks S : ℝ) (hμ : 0 < μmax) (hKs : 0 < Ks) (hS : 0 < S) : 0 < growthRate μmax Ks S","topics":["biology"],"refs":[],"depends_on":["KLean.Bio.MonodGrowth.Base","KLean.Misc.Basic"],"used_by":["KLean.Bio.MonodGrowth","KLean.Bio.MonodGrowth.GrowthRateHalfAtKs","KLean.Bio.MonodGrowth.GrowthRateLtΜmax"],"compute":"/api/v1/klean/compute/monod_growth","seal":{"receipt_id":"d017cc7dffff572a7adc3c1d","digest":"ff9469cecfb2bfdf74174682d2499bf3dcc86c0d62e7197d6640fab11f61bd22","sealed_at":"2026-08-10T03:30:24.740384+00:00","time_source":"roughtime_chain"},"commit":"4b8413e1b8"}