{"fqn":"KLean.Atoms.Bio.DoublingTimePositive.doublingTime_pos","short":"doublingTime_pos","module":"KLean.Atoms.Bio.DoublingTimePositive","path":"KLean/Atoms/Bio/DoublingTimePositive.lean","claim":"The doubling time log 2 / mu is positive for every positive growth rate mu.","verified":true,"axiom_level":"kernel-standard","olean_sha256":"a18eb709a03b28ea65e6c9720021f1aabbd00bb8004953b5847b141e3b12d01a","quarantined":false,"statement":"theorem doublingTime_pos (μ : ℝ) (hμ : 0 < μ) : 0 < doublingTime μ","topics":["biology"],"refs":[],"depends_on":["KLean.Atoms.Bio.DoublingTime"],"used_by":[],"compute":"/api/v1/klean/compute/doubling_time","seal":{"receipt_id":"d017cc7dffff572a7adc3c1d","digest":"ff9469cecfb2bfdf74174682d2499bf3dcc86c0d62e7197d6640fab11f61bd22","sealed_at":"2026-08-10T03:30:24.740384+00:00","time_source":"roughtime_chain"},"commit":"4b8413e1b8"}