Exact named statement
forall k a b u v w. Pow(a,k,u) ->
Pow(b,k,v) ->
Pow(a*b,k,w) ->
w=u*vComplete certificate and independent checks
121 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: 5f37e55e15971ec0ef5bcf1a9435c0ed369dbe1f3b53b3fa089c6e8ee4a2294c
Bundle SHA-256: 8ad49de00359af56d8e961c650663dca0440bcb9e90492d10df23c9cf564327a
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 the product of actual natural power values by constructing previous powers and identifying supplied successors with uniqueness including zero bases and exponent
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.