Exact named statement
forall alpha beta gamma ab ac bb bc cb cc N u v w. NatLinearBound(alpha,beta,gamma,ab,ac,bb,bc,cb,cc,N) ->
Sum(ab,ac,N,u) ->
Sum(bb,bc,N,v) ->
Sum(cb,cc,N,w) ->
Le(gamma*w,alpha*u+beta*v)Complete certificate and independent checks
26 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: 5c476b035cc43d4fd6b3e03efbe6c35fb50f132bb036051a3e1bb5e3c1ad422a
Bundle SHA-256: 58ccc2beee0e324cc56f96da7460606f35d20ba422fa0f1e4270dd9c50719edf
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
explicit pointwise weighted order transports to three supplied actual finite sums including empty prefix and zero weights via conservative alias without sum accuracy or analytic claim in definition
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.