Exact named statement
forall k d s D ab ac x p wb wc tb tc w0 f h y e t E bb bc z q vb vc ub uc v0 g r o. ~D=0 ->
~E=0 ->
NatSqrt2ExpSample(k,d,s,D,ab,ac,x,p,wb,wc,tb,tc,w0,f,h,y) ->
NatSqrt2ExpSample(k,e,t,E,bb,bc,z,q,vb,vc,ub,uc,v0,g,r,o) ->
(~w0=0) /\ ((~v0=0) /\ (v0*y=w0*o))Complete certificate and independent checks
228 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: 7b3f310db54974c295475b7f400dc4530ba3125902894517b92112b35c6d7383
Bundle SHA-256: 65f5079b7765f94e219fa59d809d727dfde3de1071327445909b47c1fa4a2ab8
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.
AP003 · AP004 · CV009 · CV086 · CV092 · CV094 · CV095 · CV096 · CV097 · CV098 · SQ001 · SQ002 · SQ003 · SQ004 · SQ009
Scope
two supplied complete finite exponential samples at same precision with independent positive coefficient scales have positive output denominators and exact rational value identity without equating codes or scales
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.