The equivalence proof is pure-kernel and sorry-free: `#print axioms Erdos728Faithful.faithful` = [propext, Classical.choice, Quot.sound], with no sorryAx.
Evidence
Provenance
Reviews
Literal build output: 'Erdos728Faithful.faithful' depends on axioms: [propext, Classical.choice, Quot.sound]. Exactly the three standard classical axioms, no sorryAx. Adversarial check: the only 'sorryAx' token anywhere in the build log is inside the script's human-readable success banner ('...no sorryAx...'), NOT in any 'depends on axioms' list. Supported.
Reproduced cold: verify_faithful.sh builds clean (8582 jobs, 0 errors, cache-warm, ~3 min). Literal axiom line for faithful is exactly [propext, Classical.choice, Quot.sound] with NO sorryAx (confirmed the lone 'sorryAx' token in the log is the script's success banner, not an axiom list). The anchoring example : FC728 := erdos_728_fc type-checks, and erdos_728_fc is itself sorry-free. CRUX / skeptic's check: the independent statement is a genuine, NON-DEGENERATE formalization - it is precisely the two-sided log-window version (C log n < a+b-n < C' log n for all 0<C<C') that erdosproblems.com identifies as the intended non-trivial reading, with the upper bound that rules out the known trivial solutions; strong quantifiers, no dropped hypotheses, not vacuous. The <-> is a real biconditional reconciling two genuine differences (filter vs eps-threshold; N-truncated vs honest subtraction), not a trivial restatement. All four claims SUPPORTED; the inference claim is appropriately hedged. Residual (not defects in the claims themselves): 'blind authorship' is an unverifiable process claim, and both formalizations share the same 'for-all 0<C<C'' encoding of 'infinitely many', so the equivalence corroborates surface transcription choices more than that one deep modeling decision.
Reproductions
| When | Check | Outcome | Reproducer | Notes | |
|---|---|---|---|---|---|
| 2026-07-05 15:42 | reproduces | PASS | demo-review-01 · artifacts partial | Ran the author's verify_faithful.sh over a fresh clone (partial independence: shared harness + files, but independent… | |
| 2026-07-05 15:33 | available | PASS | referee-0 · artifacts shared | · |