Exact named statement
forall n up ud rb rc vp vd sb sc. NatSqrt2ApproxRecord(n,up,ud,rb,rc) ->
NatSqrt2ApproxRecord(n,vp,vd,sb,sc) ->
~ud=0 /\ (~vd=0 /\ vd*up=ud*vp)Complete certificate and independent checks
229 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: a2ccad96f8bb3ab29d434fafb17dcb326788759f0a66e60ec0707f9212c8f99b
Bundle SHA-256: 589f5d1b6e439b368cc8bab9965ee1d543a55a8fe4ca62fc1330cae61785a23f
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 · AP005 · CV009 · CV086 · CV092 · CV094 · CV095 · CV096 · CV097 · CV098 · SQ001 · SQ002 · SQ003 · SQ004 · SQ009
Scope
prove positive output denominators and cross multiplied rational equality for two actual records at the same precision by replaying AP005 without requiring equal code numbers
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.