Exact named statement
forall k d s D ab ac x p e t E bb bc z h. ~D=0 ->
~E=0 ->
NatSqrt2LogArgument(k,d,s,D,ab,ac,x,p) ->
NatSqrt2LogArgument(k,e,t,E,bb,bc,z,h) ->
(d=e) /\ ((s=t) /\ ((p=h) /\ ((~((D*p)*s)=0) /\ ((~((E*h)*t)=0) /\ (((3*x)*d)*((E*h)*t)=((3*z)*e)*((D*p)*s))))))Complete certificate and independent checks
156 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: a257baf8204aa80c57093525ce2915cb7d327803c89e4469be4206000abc6665
Bundle SHA-256: f4e8128b5ee924559e644bcabad76116cb70ba4ab8b2c5a9f60e54c38b765a5e
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.
CV092 · SQ001 · SQ002 · SQ003 · SQ004 · SQ009
Scope
supplied finite log root quotient graphs at same precision with independent positive coefficient scales have identical dyadic data and powers positive denominators and exact rational value identity without equating table codes
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.