{"fqn":"KLean.Bio.CatalyticEfficiency.catalyticEfficiency_pos","short":"catalyticEfficiency_pos","module":"KLean.Bio.CatalyticEfficiency.CatalyticEfficiencyPos","path":"KLean/Bio/CatalyticEfficiency/CatalyticEfficiencyPos.lean","claim":null,"verified":true,"axiom_level":"kernel-standard","olean_sha256":"11bc2e0f8870f764d1e6d367a4a12c8bb0a2b96c6a56e64d9c296bb75d21abd7","quarantined":false,"statement":"theorem catalyticEfficiency_pos (kcat Km : ℝ) (hkcat : 0 < kcat) (hKm : 0 < Km) : 0 < catalyticEfficiency kcat Km","topics":["biology"],"refs":[],"depends_on":["KLean.Bio.CatalyticEfficiency.Base","KLean.Misc.Basic"],"used_by":["KLean.Bio.CatalyticEfficiency","KLean.Bio.CatalyticEfficiency.CatalyticEfficiencyDecreasesWithKm","KLean.Bio.CatalyticEfficiency.CatalyticEfficiencyIncreasesWithKcat"],"compute":"/api/v1/klean/compute/catalytic_efficiency","seal":{"receipt_id":"d017cc7dffff572a7adc3c1d","digest":"ff9469cecfb2bfdf74174682d2499bf3dcc86c0d62e7197d6640fab11f61bd22","sealed_at":"2026-08-10T03:30:24.740384+00:00","time_source":"roughtime_chain"},"commit":"4b8413e1b8"}