AP063 — exp requested truncation — irrationality research

Exact named statement

forall d x L K n N ab ac h s t r. ~d=0 ->
  Le(x,L*d) ->
  Le(2*L,K) ->
  NatScaledExpRecurrence(d,x,ab,ac,(K+S(L*K+n))+N) ->
  BetaAt(ab,ac,0,h) ->
  Sum(ab,ac,K+S(L*K+n),s) ->
  Sum(ab,ac,S((K+S(L*K+n))+N),t) ->
  Pow(2,n,r) ->
  ~r=0 /\ (Le(s,t) /\ Le(r*t,r*s+h))

PD0001 — Le · PD0013 — BetaAt · PD0015 — Sum · PD0020 — Pow · ND0443 — NatScaledExpRecurrence

Fully expanded target AST

Complete certificate and independent checks

171 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: 87d46a5afea3d3cb839af399daa22055d469c3506826aa7404168a3b15983873
Bundle SHA-256: b057dee9e4adb11a462fbfd234cd9eb053c0e7275d2c3171ed29df76a3870023

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.

AP051 · AP052 · AP053 · AP054 · AP055 · AP056 · AP057 · AP062 · CV009 · CV068

Scope

prove requested dyadic accuracy for two supplied finite exponential sums at an explicit large argument cutoff uniformly in the extra finite horizon with auxiliary powers constructed and no analytic limit

None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.