Exact named statement
0 = 0 ∧ (2 · S (2 · S (2 · S (2 · 1))) = 2 · S (2 · S (2 · S (2 · 1))) ∧ 1 = 1) ∧ (0 = 0 ∧ 0 = 0 ∧ (0 = 0 ∧ 0 = 0))No displayed named abbreviation.
Complete certificate and independent checks
4 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: 54843ab8cc85b0a20d691880db62805ab8fa519d9c6ca29dc906df1605e1274a
Bundle SHA-256: 164e24973a8368430969de032e87e44051c224bef163b1cddaf665684d900485
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
complete exact subconjunction child
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.