Claim Verification: "Using only the eml operator applied to the constant 1 (and allowing complex intermediates), there exist finite expressions that evaluate exactly to the mathematical constant \(\pi\) and to the imaginary unit \(i\). These expressions can be verified by symbolic simplification or by numerical evaluation that matches the known values \(\pi \approx 3.1415926535\ldots\) and \(i^2 = -1\) to machine precision." — Proved

Automated fact-verification of the claim: "Using only the eml operator applied to the constant 1 (and allowing complex intermediates), there exist finite expressions that evaluate exactly to the mathematical constant \(\pi\) and to the imaginary unit \(i\). These expressions can be verified by symbolic simplification or by numerical evaluation that matches the known values \(\pi \approx 3.1415926535\ldots\) and \(i^2 = -1\) to machine precision." Verdict: PROVED Files proof.py — Re-runnable Python verification script proof.md — Structured proof report proof_audit.md — Full verification audit trail proof_narrative.md — Plain-language summary proof.json — Machine-readable structured data provenance.json — W3C PROV-JSON provenance chain proof.ipynb — Jupyter Notebook (interactive re-verification) ro-crate-metadata.json — RO-Crate 1.1 research object manifest Generated by Proof Engine v1.18.0.