{"fqn":"KLean.Bio.LnpHalfLife.halfLife_pos","short":"halfLife_pos","module":"KLean.Bio.LnpHalfLife","path":"KLean/Bio/LnpHalfLife.lean","claim":"(b) The estimator is positive whenever the two measurements describe a genuine decay (0 < Nₜ < N₀) over a positive interval. Direct from the published formula.","verified":true,"axiom_level":"kernel-standard","olean_sha256":"752090d9efc5c671cba333d60c5432d6a745afc8f8db24f3255e13d62220f6e8","quarantined":false,"statement":"theorem halfLife_pos (Δt N₀ Nt : ℝ) (hΔt : 0 < Δt) (hNt : 0 < Nt) (hdecay : Nt < N₀) : 0 < halfLife Δt N₀ Nt","topics":["biology"],"refs":["https://doi.org/10.1038/nrd.2017.243"],"depends_on":["KLean.Misc.Basic"],"used_by":["KLean.Bio.Umbrella"],"compute":"/api/v1/klean/compute/weissman_half_life","seal":{"receipt_id":"d017cc7dffff572a7adc3c1d","digest":"ff9469cecfb2bfdf74174682d2499bf3dcc86c0d62e7197d6640fab11f61bd22","sealed_at":"2026-08-10T03:30:24.740384+00:00","time_source":"roughtime_chain"},"commit":"4b8413e1b8"}