Exact named statement
forall alpha beta gamma ab ac bb bc cb cc L. NatLinearTriple(alpha,beta,gamma,ab,ac,bb,bc,cb,cc,L) ->
exists u v w. Sum(ab,ac,L,u) /\ (Sum(bb,bc,L,v) /\ (Sum(cb,cc,L,w) /\ gamma*w=alpha*u+beta*v))Complete certificate and independent checks
109 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: bcf6a93be452d1bf0a424cda787eca7580644608eb69a236c5d1c99c3acea02a
Bundle SHA-256: 87db349766e9779113c3e954f52700942c6f15137bb7082e87497ce8c65d5c10
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
constructed actual weighted natural sum linearity not formal derivative IR079
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.