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| <title>Claims 4 and 5 — formal verification poster</title> | |
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| <div class="eyebrow">ICML 2026 reproduction · arXiv:2602.15503</div> | |
| <h1>Universal approximation evidence moves from chosen examples to a Lean-checked compact-space theorem</h1> | |
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| <section class="hero"> | |
| <div class="result"> | |
| <strong>2 / 2</strong> | |
| <span>formal negative controls rejected; all target theorems compile</span> | |
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| <div class="guardrail">Live score remains 8/10 until the judge evaluates this revision. Claim 4 still carries one explicit formalization boundary.</div> | |
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| <span class="tag">CLAIM 5 · HIGH</span> | |
| <h2>Arbitrary compact spaces</h2> | |
| <div class="metric">7 theorem obligations</div> | |
| <ul> | |
| <li>strict-margin scaling</li> | |
| <li>two compact finite subcovers</li> | |
| <li>lattice min/max envelope</li> | |
| <li>product Lipschitz budget</li> | |
| </ul> | |
| <p>No chosen target, target-derived basis, or finite sampling.</p> | |
| </article> | |
| <article class="card"> | |
| <span class="tag">CLAIM 4 · MEDIUM</span> | |
| <h2>Universal deduction</h2> | |
| <div class="metric">Lean 4.19.0</div> | |
| <p>The kernel derives uniform approximation for every separately Lipschitz target and every positive tolerance from nonempty, lattice-closed, strictly interpolating paper-class premises.</p> | |
| <p class="risk"><strong>Boundary:</strong> exact matrix-level realization of those premises is source-audited, not yet encoded in Lean.</p> | |
| </article> | |
| <article class="card"> | |
| <span class="tag">REPRODUCIBLE</span> | |
| <h2>One fixed command</h2> | |
| <div class="metric">164.07 s</div> | |
| <p><code>uv run --frozen python run_reproduction.py</code></p> | |
| <ul> | |
| <li>mathlib v4.19.0</li> | |
| <li>no <code>sorryAx</code></li> | |
| <li>only standard axioms reported</li> | |
| <li>HF cpu-upgrade, one worker</li> | |
| </ul> | |
| </article> | |
| </section> | |
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| <span>Evidence SHA <code>3820f7a5601f0d4e52d1936ce045303796519f8d</code></span> | |
| <span>DineshAI/OVBpXUvwMi · Job 6a6c0f3023ed89c748ec8e1f</span> | |
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