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lean-kernel
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<!doctype html>
<html lang="en">
<head>
<meta charset="utf-8"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>SZLHOLDINGS · lean-kernel — live Lean/Lake verification</title>
<style>
  :root{--bg:#0b0e14;--panel:#121722;--ink:#e6edf3;--mut:#8b97a7;--ok:#3fb950;--bad:#f85149;--ax:#d29922;--acc:#58a6ff;--line:#222b38}
  *{box-sizing:border-box}
  body{margin:0;font:14px/1.5 ui-monospace,SFMono-Regular,Menlo,Consolas,monospace;background:var(--bg);color:var(--ink)}
  header{padding:22px 26px;border-bottom:1px solid var(--line);background:linear-gradient(180deg,#0e1320,#0b0e14)}
  h1{margin:0;font-size:20px;letter-spacing:.3px}
  .sub{color:var(--mut);margin-top:4px;font-size:12.5px}
  main{max-width:1100px;margin:0 auto;padding:22px 18px 60px}
  .grid{display:grid;grid-template-columns:1fr 1fr;gap:16px}
  @media(max-width:780px){.grid{grid-template-columns:1fr}}
  .card{background:var(--panel);border:1px solid var(--line);border-radius:10px;padding:16px;margin-bottom:16px}
  .card h2{margin:0 0 10px;font-size:14px;color:var(--acc);text-transform:uppercase;letter-spacing:.6px}
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  .pill.ok{background:rgba(63,185,80,.15);color:var(--ok)}
  .pill.bad{background:rgba(248,81,73,.15);color:var(--bad)}
  .pill.ax{background:rgba(210,153,34,.15);color:var(--ax)}
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  button{background:#1f6feb;color:#fff;border:0;border-radius:7px;padding:8px 14px;font:inherit;cursor:pointer}
  button:hover{background:#388bfd}
  button.ghost{background:#1c2333;color:var(--ink);border:1px solid var(--line)}
  pre{background:#0a0d13;border:1px solid var(--line);border-radius:8px;padding:10px;max-height:280px;overflow:auto;white-space:pre-wrap;word-break:break-word;font-size:12px}
  table{width:100%;border-collapse:collapse;font-size:12px}
  th,td{text-align:left;padding:5px 8px;border-bottom:1px solid var(--line)}
  th{color:var(--mut);position:sticky;top:0;background:var(--panel)}
  .tblwrap{max-height:420px;overflow:auto;border:1px solid var(--line);border-radius:8px}
  .num{font-size:26px;font-weight:700}
  .kv{display:flex;justify-content:space-between;padding:3px 0;border-bottom:1px dashed var(--line)}
  .kv span:first-child{color:var(--mut)}
  textarea{width:100%;min-height:120px;background:#0a0d13;color:var(--ink);border:1px solid var(--line);border-radius:8px;padding:9px;font:inherit}
  a{color:var(--acc)}
  .row{display:flex;gap:8px;flex-wrap:wrap;align-items:center;margin-bottom:10px}
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</style>
</head>
<body>
<header>
  <h1>SZLHOLDINGS · lean-kernel</h1>
  <div class="sub">Live Lean v4.13.0 + Mathlib v4.13.0 kernel for <a href="https://github.com/szl-holdings/lutar-lean">szl-holdings/lutar-lean</a> · the Lutar Invariant Λ. Numbers are computed live from <code>lean_numbers.py</code> against the deployed commit — never hardcoded. If the build fails, this page shows it honestly.</div>
</header>
<main>

  <div class="card" id="health">
    <h2>Kernel status</h2>
    <div class="row"><span class="pill un" id="hpill">loading…</span>
      <span class="sub" id="hmeta"></span></div>
    <div class="kv"><span>repo</span><span id="hrepo">—</span></div>
    <div class="kv"><span>commit</span><span id="hsha">—</span></div>
    <div class="kv"><span>toolchain</span><span id="htc">—</span></div>
    <div class="kv"><span>last lake build</span><span id="hbuild">—</span></div>
  </div>

  <div class="grid">
    <div class="card">
      <h2>Canonical numbers (live)</h2>
      <div class="stat">
        <div><div class="num" id="ndecl">—</div><div class="sub">declarations</div></div>
        <div><div class="num" id="naxr">—</div><div class="sub">axioms (raw)</div></div>
        <div><div class="num" id="naxu">—</div><div class="sub">axioms (unique)</div></div>
        <div><div class="num" id="nsor">—</div><div class="sub">sorries (raw)</div></div>
        <div><div class="num" id="nsnc">—</div><div class="sub">sorries (non-comment)</div></div>
      </div>
      <div class="sub" id="nmeta" style="margin-top:8px"></div>
    </div>

    <div class="card">
      <h2>lake build (on demand)</h2>
      <div class="row"><button onclick="runBuild()" id="bbtn">Run lake build</button>
        <span class="pill un" id="bpill">idle</span>
        <span class="sub" id="btime"></span></div>
      <pre id="blog">Press “Run lake build” to kernel-check the whole library live.
(First run on a cold box downloads the Mathlib cache and can take minutes;
 if disk/cache is unavailable the failure is shown here verbatim.)</pre>
    </div>
  </div>

  <div class="card">
    <h2>Theorem table (PROVEN / AXIOM / SORRY)</h2>
    <div class="row">
      <span class="pill ok" id="tp">PROVEN —</span>
      <span class="pill ax" id="ta">AXIOM —</span>
      <span class="pill bad" id="ts">SORRY —</span>
      <input id="tfilter" placeholder="filter by name/file…" oninput="renderTheorems()"
        style="margin-left:auto;background:#0a0d13;color:var(--ink);border:1px solid var(--line);border-radius:7px;padding:6px 9px;font:inherit"/>
    </div>
    <div class="tblwrap">
      <table><thead><tr><th>status</th><th>kind</th><th>name</th><th>file:line</th></tr></thead>
      <tbody id="tbody"><tr><td colspan="4" class="sub">loading…</td></tr></tbody></table>
    </div>
  </div>

  <div class="grid">
    <div class="card">
      <h2>Λ-receipt verifier playground</h2>
      <div class="sub">POST a receipt <code>{"axes":[...], "lambda":…}</code>. The kernel recomputes Λ = (∏xᵢ)^(1/k) and names the confirming theorem.</div>
      <textarea id="vin">{"axes":[0.9,0.9,0.9,0.9,0.9,0.9,0.9,0.9,0.9],"lambda":0.9}</textarea>
      <div class="row" style="margin-top:8px"><button onclick="doVerify()">Verify receipt</button></div>
      <pre id="vout">—</pre>
    </div>

    <div class="card">
      <h2>10 golden reference vectors</h2>
      <div class="row"><button class="ghost" onclick="loadVectors()">Load vectors</button>
        <button onclick="exerciseVectors()">Exercise vs current Lean</button>
        <span class="pill un" id="vpill">—</span></div>
      <pre id="vecout">—</pre>
    </div>
  </div>

  <div class="card">
    <h2>API</h2>
    <div class="sub">
      <code>GET /api/lean/healthz</code> ·
      <code>GET /api/lean/numbers</code> ·
      <code>GET /api/lean/theorems</code> ·
      <code>POST /api/lean/verify</code> ·
      <code>GET /api/lean/build</code> (SSE) ·
      <code>GET /api/lean/vectors</code> ·
      <code>POST /api/lean/vectors/exercise</code>
    </div>
  </div>

</main>
<script>
const J = async (u,o)=> (await fetch(u,o)).json();
let THEOREMS=[];

async function loadHealth(){
  try{
    const h = await J('api/lean/healthz');
    const p=document.getElementById('hpill');
    const b=h.build||{};
    if(b.status==='pass'){p.className='pill ok';p.textContent='BUILD PASS';}
    else if(b.status==='fail'){p.className='pill bad';p.textContent='BUILD FAIL';}
    else {p.className='pill un';p.textContent='BUILD NOT YET RUN';}
    document.getElementById('hrepo').textContent=h.repo+(h.repo_present?'':' (missing!)');
    document.getElementById('hsha').textContent=(h.repo_sha||'').slice(0,12);
    document.getElementById('htc').textContent=h.toolchain;
    document.getElementById('hbuild').textContent=b.status==='unknown'?'not run yet':
      `${b.status} · exit ${b.exit_code} · ${b.duration_s}s`;
  }catch(e){document.getElementById('hpill').textContent='healthz error';}
}
async function loadNumbers(){
  try{
    const d = await J('api/lean/numbers'); const n=d.numbers||{};
    document.getElementById('ndecl').textContent=n.declarations??'—';
    document.getElementById('naxr').textContent=n.axioms_raw??'—';
    document.getElementById('naxu').textContent=n.axioms_unique??'—';
    document.getElementById('nsor').textContent=n.sorries_raw??'—';
    document.getElementById('nsnc').textContent=n.sorries_noncomment??'—';
    document.getElementById('nmeta').textContent=`live · sha ${(d.sha||'').slice(0,12)} · measured ${d.measured_at_utc||''}`;
  }catch(e){document.getElementById('nmeta').textContent='numbers error: '+e;}
}
async function loadTheorems(){
  try{
    const d = await J('api/lean/theorems'); THEOREMS=d.items||[]; const s=d.summary||{};
    document.getElementById('tp').textContent='PROVEN '+(s.proven??'—');
    document.getElementById('ta').textContent='AXIOM '+(s.axiom??'—');
    document.getElementById('ts').textContent='SORRY '+(s.sorry??'—');
    renderTheorems();
  }catch(e){document.getElementById('tbody').innerHTML='<tr><td colspan=4 class=sub>error: '+e+'</td></tr>';}
}
function renderTheorems(){
  const f=(document.getElementById('tfilter').value||'').toLowerCase();
  const rows=THEOREMS.filter(x=>!f||x.name.toLowerCase().includes(f)||x.file.toLowerCase().includes(f))
    .map(x=>{const cls=x.status==='PROVEN'?'ok':x.status==='AXIOM'?'ax':'bad';
      return `<tr><td><span class="pill ${cls}">${x.status}</span></td><td>${x.kind}</td><td>${x.name}</td><td class=sub>${x.file}:${x.line}</td></tr>`;}).join('');
  document.getElementById('tbody').innerHTML=rows||'<tr><td colspan=4 class=sub>no matches</td></tr>';
}
function runBuild(){
  const log=document.getElementById('blog'); const pill=document.getElementById('bpill');
  log.textContent=''; pill.className='pill un'; pill.textContent='running…';
  document.getElementById('bbtn').disabled=true;
  const es=new EventSource('api/lean/build');
  es.onmessage=(ev)=>{const d=JSON.parse(ev.data);
    if(d.event==='line'){log.textContent+=d.line+'\n';log.scrollTop=log.scrollHeight;}
    else if(d.event==='start'){log.textContent+='$ lake build\n';}
    else if(d.event==='done'){pill.className='pill '+(d.status==='pass'?'ok':'bad');
      pill.textContent='BUILD '+d.status.toUpperCase();
      document.getElementById('btime').textContent=`exit ${d.exit_code} · ${d.duration_s}s`;
      es.close();document.getElementById('bbtn').disabled=false;loadHealth();}
    else if(d.event==='error'){pill.className='pill bad';pill.textContent='ERROR';
      log.textContent+='ERROR: '+d.msg+'\n';es.close();document.getElementById('bbtn').disabled=false;}
  };
  es.onerror=()=>{pill.className='pill bad';pill.textContent='stream error';es.close();document.getElementById('bbtn').disabled=false;};
}
async function doVerify(){
  let body; try{body=JSON.parse(document.getElementById('vin').value);}catch(e){document.getElementById('vout').textContent='invalid JSON';return;}
  const r=await J('api/lean/verify',{method:'POST',headers:{'content-type':'application/json'},body:JSON.stringify(body)});
  document.getElementById('vout').textContent=JSON.stringify(r,null,2);
}
async function loadVectors(){const d=await J('api/lean/vectors');document.getElementById('vecout').textContent=JSON.stringify(d,null,2);}
async function exerciseVectors(){
  const r=await J('api/lean/vectors/exercise',{method:'POST'});
  const p=document.getElementById('vpill');
  p.className='pill '+(r.all_pass?'ok':'bad');p.textContent=r.all_pass?('ALL '+r.count+' PASS'):'SOME FAIL';
  document.getElementById('vecout').textContent=JSON.stringify(r,null,2);
}
loadHealth();loadNumbers();loadTheorems();
</script>
</body>
</html>