{"fqn":"KLean.Atoms.Bio.TelomereDivisionAntitone.telomereLength_decreasing","short":"telomereLength_decreasing","module":"KLean.Atoms.Bio.TelomereDivisionAntitone","path":"KLean/Atoms/Bio/TelomereDivisionAntitone.lean","claim":"Telomere length L0 - delta*n is nonincreasing in the division count for nonnegative attrition delta.","verified":true,"axiom_level":"kernel-standard","olean_sha256":"2aecf2d777cf53629f8ee42507ff11377b870d5e28efe50d599bbb6de07fdced","quarantined":false,"statement":"theorem telomereLength_decreasing (L₀ δ : ℝ) (n m : ℕ) (hδ : 0 ≤ δ) (h : n ≤ m) : telomereLength L₀ δ m ≤ telomereLength L₀ δ n","topics":["biology"],"refs":[],"depends_on":["KLean.Atoms.Bio.TelomereAfterDivisions"],"used_by":[],"compute":"/api/v1/klean/compute/telomere_attrition","seal":{"receipt_id":"d017cc7dffff572a7adc3c1d","digest":"ff9469cecfb2bfdf74174682d2499bf3dcc86c0d62e7197d6640fab11f61bd22","sealed_at":"2026-08-10T03:30:24.740384+00:00","time_source":"roughtime_chain"},"commit":"4b8413e1b8"}