Exact named statement
forall n s e t. ~e=0 ->
FloorSqrt(n,s) ->
FloorSqrt(n*(e*e),t) ->
Le(s*e,t) /\ Lt(t,(S s)*e)Complete certificate and independent checks
24 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: af5a7f392980a78a1da6c3dd0057aaee1ddbfe5ffb78712c7317553f73567df8
Bundle SHA-256: 281d07e71b9dffd4902db8ba8c2a02b0ae4a9073befdb0d3ed21490253c78a82
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
supplied floor root at scaled square input is between positive integer multiples of the original floor root and its successor no real limit assumption
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.