{"fqn":"KLean.Bio.CompetitiveInhibition.velocity_pos","short":"velocity_pos","module":"KLean.Bio.CompetitiveInhibition.VelocityPos","path":"KLean/Bio/CompetitiveInhibition/VelocityPos.lean","claim":null,"verified":true,"axiom_level":"kernel-standard","olean_sha256":"2dc3acdfe0d12dcea341acc64b255d2603d7fb171289084354bd5ee702375f53","quarantined":false,"statement":"theorem velocity_pos (vmax km s I ki : ℝ) (hvmax : 0 < vmax) (hkm : 0 < km) (hs : 0 < s) (hI : 0 ≤ I) (hki : 0 < ki) : 0 < velocity vmax km s I ki","topics":["biology"],"refs":[],"depends_on":["KLean.Bio.CompetitiveInhibition.Base","KLean.Misc.Basic"],"used_by":["KLean.Bio.CompetitiveInhibition","KLean.Bio.CompetitiveInhibition.VelocityDecreasesWithInhibitor","KLean.Bio.CompetitiveInhibition.VelocityLtVmax"],"compute":"/api/v1/klean/compute/michaelis_menten","seal":{"receipt_id":"d017cc7dffff572a7adc3c1d","digest":"ff9469cecfb2bfdf74174682d2499bf3dcc86c0d62e7197d6640fab11f61bd22","sealed_at":"2026-08-10T03:30:24.740384+00:00","time_source":"roughtime_chain"},"commit":"4b8413e1b8"}