Exact named statement
forall ab ac bb bc cb cc db dc L. exists ub uc vb vc wb wc xb xc. IQuadProductTrace(ab,ac,bb,bc,cb,cc,db,dc,ub,uc,vb,vc,wb,wc,xb,xc,L)Complete certificate and independent checks
108 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: bce1bbd903c3dd33cd47e30166931e5de2a0dde0f5d058bab6051dcfa4e6400b
Bundle SHA-256: a27dba505ab5151a5842f58f5537219f9b5958bd3310103b98ac0dc6dff29b98
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
unconditional integer quadratic product trace existence not real IR046
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.