Exact named statement
forall d e a b M g k u v D E C Q. ~d=0 ->
~e=0 ->
Le(a,M*d) ->
Le(b,M*e) ->
Le(b*d,a*e+g) ->
Le(a*e,b*d+g) ->
Pow(a,S k,u) ->
Pow(b,S k,v) ->
Pow(d,S k,D) ->
Pow(e,S k,E) ->
Pow(M,k,C) ->
Pow(d*e,k,Q) ->
~D=0 /\ (~E=0 /\ (Le(v*D,u*E+(S k)*(g*(C*Q))) /\ Le(u*E,v*D+(S k)*(g*(C*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: 0be1195ec265753f6216218bc22c6933b86df205ce422c95f0c25df112074b61
Bundle SHA-256: 3d6d57fcdb4790e5b501149babd64eeace241bc7c05a6c2f072a4ea02e463edb
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
prove symmetric error propagation for independently normalized nonnegative rational powers by constructing actual cross numerator powers preserving all six supplied powers and proving output denominators nonzero
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.