Exact named statement
forall x wb wc K. exists tb tc s. NatPowerWeightedPrefix(x,wb,wc,tb,tc,K) /\ Sum(tb,tc,K,s)Complete certificate and independent checks
121 actual local proof nodes. Each node carries its complete ordinary HA proof body.
Full canonical proof bundle · Original HA receipt · Independent Lean receipt
Target SHA-256: ed362b7903fc9933f4dc5185589dd926c667bfdd97db615b673296a1e094fd9c
Bundle SHA-256: 78c022fee7071b3379f26cdce3ad991097813fb284760516d9a31b50bd1d4c61
Checked statement containment
These exact targets occur inside this certificate. These links summarize containment, not direct dependency arrows; the downloadable bundle records every private lemma and ordered edge.
Scope
constructed actual weight times actual power prefix and same prefix sum for arbitrary weights including zero base and empty prefix not factorial normalization or analytic bound
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.