Exact named statement
forall r a p q. Pow(2,S(S(18*r)),a) ->
Pow(3,S(S(18*r)),p) ->
Pow(3,S(18*r),q) ->
~p=0 /\ (~q=0 /\ (Le(r*(9*a),p) /\ (Le(r,q))))Complete certificate and independent checks
46 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: f9b1341a43e515bdb6a1c4fc11f68e15deefecb21d6e6e05e93c1be5d19f8c43
Bundle SHA-256: 36caf73a72f7b03407395d92914e1fe5d1638cd8a9a23306b08ca8ec1d4d591b
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
prove two actual power inductions and the explicit cutoff N equals eighteen r plus two budget for both finite log exponential errors without materializing large exponentials or altering the fixed approximation program
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.