Exact named statement
forall k l d s D ab ac x p q t E bb bc z h. ~D=0 ->
~E=0 ->
NatSqrt2LogArgument(k,d,s,D,ab,ac,x,p) ->
NatSqrt2LogArgument(k+l,q,t,E,bb,bc,z,h) ->
(~((D*p)*s)=0) /\ ((~((E*h)*t)=0) /\ ((Le(((D*p)*s)*((3*z)*q),((E*h)*t)*((3*x)*d)+((3*D)*(E*h))*(s*t))) /\ (Le(d*(((E*h)*t)*((3*x)*d)),d*(((D*p)*s)*((3*z)*q))+((D*p)*s)*((E*h)*t)))))Complete certificate and independent checks
188 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: cbc032a1e559ba87536c09544a5f7e321cc43378460e87bddebc0cb65a85584c
Bundle SHA-256: bf75787641e08251020beebea70fd3b959a6a124299bc6912608463dd6d8bb41
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 · CV086 · CV089 · CV090 · CV092 · CV093 · SQ002 · SQ005 · SQ006 · SQ007 · SQ008 · SQ009 · SQ010
Scope
supplied log root quotients at ordered precisions have positive denominators and two sided asymmetric finite error from logarithm tail and reciprocal root modulus without monotonicity assumption
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.