CV075 — rational tail majorant — irrationality research

Exact named statement

forall ab ac D B M r y v. ~D=0 ->
  NatHornerValue(ab,ac,2,S(M+r),y) ->
  Pow(2,M+r,v) ->
  Le(y,(B*D)*v) ->
  exists tb tc u p q h. (NatAffineSlice(ab,ac,M,1,tb,tc,S r)) /\ ((NatHornerValue(tb,tc,3,S r,u)) /\ ((Pow(2,M,p)) /\ ((Pow(3,M,q)) /\ ((Pow(3,M+r,h)) /\ ((~p=0) /\ ((~q=0) /\ ((~h=0) /\ ((~(D*h)=0) /\ ((Le(u*q,(B*p)*(D*h))) /\ (IRatLe(u,0,D*h,B*p,0,q)))))))))))

PD0001 — Le · ND0411 — NatAffineSlice · PD0020 — Pow · ND0437 — NatHornerValue · ND0444 — IRatLe

Fully expanded target AST

Complete certificate and independent checks

144 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: afeaa7ea69229597287202c3420e527d2b96f2c2bbd77a455ad620d128c7edff
Bundle SHA-256: 5e9943d53ae57de27108eb1c6c31783198b59e581ba08365f20e368274d9bbda

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.

CV032 · CV062 · CV063 · CV064

Scope

constructed actual nonempty tail and base three value with actual powers nonzero denominators and valid rational bound B times two over three to M from supplied whole table majorant not analytic limit or empty tail case

None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.