Exact named statement
forall k l d s D ab ac x p wb wc tb tc w0 f h y q t E bb bc z v xb xc ub uc v0 g j o. ~D=0 ->
~E=0 ->
NatSqrt2ExpSample(k,d,s,D,ab,ac,x,p,wb,wc,tb,tc,w0,f,h,y) ->
NatSqrt2ExpSample(k+S l,q,t,E,bb,bc,z,v,xb,xc,ub,uc,v0,g,j,o) ->
(~d=0) /\ ((~w0=0) /\ ((~v0=0) /\ ((Le(d*(w0*o),d*(v0*y)+((9*3)+2)*(w0*v0))) /\ (Le(d*(v0*y),d*(w0*o)+((9*3)+2)*(w0*v0))))))Complete certificate and independent checks
282 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: 309286b62c9ba3f6357861cfacebc829369cbcc7919b6c039df4852a2f7bfb99
Bundle SHA-256: 9de719a1127b72d5a0df0d7779b1ebf2906193ecac0502489e9b1830fd49cbe5
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.
AP004 · AP006 · AP007 · AP008 · AP009 · AP010 · AP011 · CV009 · CV032 · CV062 · CV068 · CV086 · CV087 · CV088 · CV089 · CV090 · CV092 · CV093 · CV094 · CV095 · CV096 · CV097 · CV098 · CV100 · SQ002 · SQ005 · SQ006 · SQ007 · SQ008 · SQ009 · SQ010
Scope
actual supplied samples at strictly finer precision have uniform two sided dyadic error with positive output denominators and internally constructed cutoff power without real accuracy or irrationality claims
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.