{"fqn":"KLean.Info.UnitInterval.entropy_nonneg","short":"entropy_nonneg","module":"KLean.Info.UnitInterval","path":"KLean/Info/UnitInterval.lean","claim":"H(p) ≥ 0: each summand negMulLog pᵢ ≥ 0 on [0,1].","verified":true,"axiom_level":"kernel-standard","olean_sha256":"beb6e013fef38d2a0679b7afba229085de0889d0c5c20b9a9881fcb5c2653648","quarantined":false,"statement":"theorem entropy_nonneg (d : AttnDist n) : 0 ≤ entropy d","topics":["information"],"refs":[],"depends_on":["KLean.CS.Balanced","KLean.Misc.Basic"],"used_by":["KLean.Info.GScoreEntropyAxiomAudit"],"compute":"/api/v1/klean/compute/shannon_entropy_dist","seal":{"receipt_id":"d017cc7dffff572a7adc3c1d","digest":"ff9469cecfb2bfdf74174682d2499bf3dcc86c0d62e7197d6640fab11f61bd22","sealed_at":"2026-08-10T03:30:24.740384+00:00","time_source":"roughtime_chain"},"commit":"4b8413e1b8"}