{"fqn":"KLean.Bio.SirThreshold.reproductionNumber_pos","short":"reproductionNumber_pos","module":"KLean.Bio.SirThreshold.ReproductionNumberPos","path":"KLean/Bio/SirThreshold/ReproductionNumberPos.lean","claim":null,"verified":null,"axiom_level":"kernel-standard","olean_sha256":null,"quarantined":false,"statement":"theorem reproductionNumber_pos (β γ : ℝ) (hβ : 0 < β) (hγ : 0 < γ) : 0 < reproductionNumber β γ","topics":["biology"],"refs":[],"depends_on":["KLean.Bio.SirThreshold.Base","KLean.Bio.SirThreshold.PopulationSizePos","KLean.Misc.Basic"],"used_by":["KLean.Bio.SirThreshold","KLean.Bio.SirThreshold.EpidemicThreshold"],"compute":"/api/v1/klean/compute/reproduction_number","seal":{"receipt_id":"d017cc7dffff572a7adc3c1d","digest":"ff9469cecfb2bfdf74174682d2499bf3dcc86c0d62e7197d6640fab11f61bd22","sealed_at":"2026-08-10T03:30:24.740384+00:00","time_source":"roughtime_chain"},"commit":"4b8413e1b8"}