Exact named statement
forall a b k l x y. Le(a,b) ->
~b=0 ->
Pow(a,k,x) ->
Pow(b,k+l,y) ->
Le(x,y)Complete certificate and independent checks
126 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: 4b0cf1709336ebd3b4aa2546b4ad7107701157fb692b6db7205344456192cd25
Bundle SHA-256: 340b616e44a6822279a5bef8dc9bc4e8a15d748592e8b2870b82f50ffa1268fe
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 supplied natural powers are jointly monotone in ordered bases and additive exponents when the larger base is nonzero with zero smaller base and zero exponents allowed
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.