Exact named statement
forall k l d s q t. DyadicSqrt2(k,d,s) ->
DyadicSqrt2(k+l,q,t) ->
(~d=0) /\ ((~q=0) /\ ((Le(s*q,t*d)) /\ (Le(t*d,s*q+q))))Complete certificate and independent checks
136 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: a431f58073293b4d6efa8d8122c194a4bcbaa3f8ad022a73b9f8d2a0b8182910
Bundle SHA-256: fa202c285e41ec0f1b6619dc5605fd748dba041a74efb3ee72cd9abbb5861f32
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
actual dyadic sqrt2 computations at ordered precisions have explicit positive denominators and cross multiplied error at most one coarse denominator reciprocal no analytic limit
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.