diff --git a/4-Infrastructure/shim/gremlin_appflowy_bridge.py b/4-Infrastructure/shim/gremlin_appflowy_bridge.py
new file mode 100644
index 00000000..8be65ca3
--- /dev/null
+++ b/4-Infrastructure/shim/gremlin_appflowy_bridge.py
@@ -0,0 +1,30 @@
+#!/usr/bin/env -S uv run
+# /// script
+# requires-python = ">=3.11"
+# dependencies = [
+#   "gremlinpython",
+#   "python-dotenv",
+# ]
+# ///
+"""gremlin_appflowy_bridge.py — DEPRECATED. Use gremlin_lean_report.py instead.
+
+The old AppFloyo Cloud REST API (/api/databases) does not exist in
+self-hosted v0.16.5. The replacement generates Markdown/JSON reports
+that can be imported into AppFloyo via the UI, or consumed by other
+automation.
+
+See: gremlin_lean_report.py
+     signatures/appflowy_deployment_status.json
+"""
+
+import sys
+from pathlib import Path
+
+ROOT = Path(__file__).resolve().parents[2]
+sys.path.insert(0, str(ROOT / "shim"))
+
+from gremlin_lean_report import main
+
+if __name__ == "__main__":
+    main()
+
diff --git a/4-Infrastructure/shim/gremlin_lean_report.py b/4-Infrastructure/shim/gremlin_lean_report.py
new file mode 100644
index 00000000..10ee0386
--- /dev/null
+++ b/4-Infrastructure/shim/gremlin_lean_report.py
@@ -0,0 +1,253 @@
+#!/usr/bin/env -S uv run
+# /// script
+# requires-python = ">=3.11"
+# dependencies = [
+#   "gremlinpython",
+#   "python-dotenv",
+# ]
+# ///
+"""gremlin_lean_report.py — Query Gremlin dependency graph and emit
+structured module reports in JSON and Markdown.
+
+Flow:
+  Gremlin (46K vertices, 30K edges)
+       │
+       │  Query all module vertices + 'imports' edges
+       ▼
+  Build module dependency map
+       │
+       ├─► JSON report (machine-readable)
+       └─► Markdown report (human-readable, importable into AppFlowy)
+
+  Future: AppFloyo Cloud push via WS collab protocol (blocked on
+  AppFloyo Cloud v0.16.5 lacking programmatic REST API for databases.
+  See signatures/appflowy_deployment_status.json.)
+"""
+
+from __future__ import annotations
+
+import json
+import os
+import sys
+import time
+from datetime import datetime, timezone
+from pathlib import Path
+from typing import Any
+
+ROOT = Path(__file__).resolve().parents[2]
+
+
+# ── Gremlin connection ──────────────────────────────────────────────────
+
+def get_gremlin_client():
+    """Create Gremlin client from .env.gremlin."""
+    env_path = ROOT / ".env.gremlin"
+    if not env_path.exists():
+        print("ERROR: .env.gremlin not found", file=sys.stderr)
+        sys.exit(1)
+
+    lines = env_path.read_text().splitlines()
+    cfg = {}
+    for line in lines:
+        if "=" in line and not line.startswith("#"):
+            k, v = line.split("=", 1)
+            cfg[k.strip()] = v.strip().strip('"')
+
+    from gremlin_python.driver import client as gremlin_client, serializer
+    return gremlin_client.Client(
+        cfg.get("GREMLIN_ENDPOINT", "wss://mathblob.gremlin.cosmos.azure.com:443/"),
+        "g",
+        username=cfg.get("GREMLIN_USERNAME", "/dbs/research/colls/concepts"),
+        password=cfg.get("GREMLIN_PASSWORD", ""),
+        message_serializer=serializer.GraphSONSerializersV2d0(),
+    )
+
+
+def query_gremlin(query: str, bindings: dict | None = None) -> list[dict]:
+    """Run a Gremlin query and return results."""
+    c = get_gremlin_client()
+    try:
+        result = c.submitAsync(query, bindings or {}).result().all().result()
+        return list(result)
+    finally:
+        c.close()
+
+
+def get_all_modules() -> list[dict]:
+    """Get all module vertices with theorem/sorry counts."""
+    raw = query_gremlin(
+        'g.V().hasLabel("module").project("id","ns","tc","sc","fc")'
+        '.by(id).by(coalesce(values("namespace"), constant("")))'
+        '.by(coalesce(values("theorem_count"), constant(0)))'
+        '.by(coalesce(values("sorry_count"), constant(0)))'
+        '.by(coalesce(values("file_path"), constant("")))'
+        '.fold()'
+    )
+    items = raw[0] if raw and isinstance(raw[0], list) else raw
+    modules = []
+    for r in items if isinstance(items, list) else []:
+        if isinstance(r, dict):
+            modules.append({
+                "id": r.get("id", ""),
+                "name": r.get("ns", r["id"].split(".")[-1] if "." in r.get("id", "") else r.get("id", "")),
+                "theorem_count": int(r.get("tc", 0)),
+                "sorry_count": int(r.get("sc", 0)),
+                "file_path": r.get("fc", ""),
+            })
+    return modules
+
+
+def get_dependency_map() -> dict[str, list[str]]:
+    """Get module dependency graph via 'imports' edges."""
+    raw = query_gremlin(
+        'g.V().hasLabel("module").project("id","deps")'
+        '.by(id).by(out("imports").hasLabel("module").id().fold())'
+        '.fold()'
+    )
+    items = raw[0] if raw and isinstance(raw[0], list) else raw
+    result: dict[str, list[str]] = {}
+    for r in items if isinstance(items, list) else []:
+        if isinstance(r, dict):
+            result[r["id"]] = list(r.get("deps", []))
+    return result
+
+
+# ── Report generation ──────────────────────────────────────────────────
+
+def build_report(modules: list[dict], deps: dict[str, list[str]]) -> dict:
+    """Build a structured report from Gremlin data."""
+    rev_deps: dict[str, int] = {}
+    for mod_id, dep_ids in deps.items():
+        for dep_id in dep_ids:
+            rev_deps[dep_id] = rev_deps.get(dep_id, 0) + 1
+
+    rows = []
+    for m in modules:
+        mid = m["id"]
+        rows.append({
+            "id": mid,
+            "name": m["name"],
+            "theorems": m["theorem_count"],
+            "sorries": m["sorry_count"],
+            "imports": len(deps.get(mid, [])),
+            "imported_by": rev_deps.get(mid, 0),
+        })
+
+    rows.sort(key=lambda r: -r["theorems"])
+
+    total_thm = sum(r["theorems"] for r in rows)
+    total_sor = sum(r["sorries"] for r in rows)
+
+    return {
+        "schema": "gremlin_lean_report_v1",
+        "generated_at": datetime.now(timezone.utc).strftime("%Y-%m-%dT%H:%M:%SZ"),
+        "source": "Gremlin (Azure Cosmos DB, mathblob)",
+        "summary": {
+            "total_modules": len(rows),
+            "total_theorems": total_thm,
+            "total_sorries": total_sor,
+            "total_dependency_edges": sum(len(v) for v in deps.values()),
+        },
+        "by_theorems": rows[:10],
+        "most_imported": sorted(rows, key=lambda r: -r["imported_by"])[:10],
+        "all_modules": rows,
+    }
+
+
+def emit_json(report: dict, out_path: Path) -> None:
+    """Write JSON report."""
+    out_path.write_text(json.dumps(report, indent=2) + "\n")
+    print(f"  JSON: {out_path}")
+
+
+def emit_markdown(report: dict, out_path: Path) -> None:
+    """Write Markdown report (importable into AppFlowy/Obsidian)."""
+    lines = [
+        f"# Lean Module Dependency Report",
+        f"",
+        f"Generated: {report['generated_at']}",
+        f"Source: {report['source']}",
+        f"",
+        f"## Summary",
+        f"",
+        f"| Metric | Value |",
+        f"|--------|-------|",
+        f"| Modules | {report['summary']['total_modules']} |",
+        f"| Theorems | {report['summary']['total_theorems']} |",
+        f"| Sorries | {report['summary']['total_sorries']} |",
+        f"| Dependency edges | {report['summary']['total_dependency_edges']} |",
+        f"",
+        f"## Top 10 Modules by Theorem Count",
+        f"",
+        f"| # | Module | Theorems | Sorries | Imports | Imported By |",
+        f"|---|--------|----------|---------|---------|-------------|",
+    ]
+    for i, r in enumerate(report["by_theorems"], 1):
+        lines.append(f"| {i} | {r['name']} | {r['theorems']} | {r['sorries']} | {r['imports']} | {r['imported_by']} |")
+
+    lines += [
+        f"",
+        f"## Top 10 Most-Imported Modules",
+        f"",
+        f"| # | Module | Imported By | Theorems | Sorries |",
+        f"|---|--------|-------------|----------|---------|",
+    ]
+    for i, r in enumerate(report["most_imported"], 1):
+        lines.append(f"| {i} | {r['name']} | {r['imported_by']} | {r['theorems']} | {r['sorries']} |")
+
+    lines += [
+        f"",
+        f"## All Modules ({len(report['all_modules'])})",
+        f"",
+        f"| Module | Theorems | Sorries | Imports | Imported By |",
+        f"|--------|----------|---------|---------|-------------|",
+    ]
+    for r in report["all_modules"]:
+        lines.append(f"| {r['name']} | {r['theorems']} | {r['sorries']} | {r['imports']} | {r['imported_by']} |")
+
+    out_path.write_text("\n".join(lines) + "\n")
+    print(f"  MD:  {out_path}")
+
+
+# ── Main ─────────────────────────────────────────────────────────────────
+
+def main():
+    out_dir = ROOT / "reports"
+    out_dir.mkdir(parents=True, exist_ok=True)
+    ts = datetime.now().strftime("%Y%m%d_%H%M%S")
+
+    print("[gremlin] Querying Gremlin...")
+    modules = get_all_modules()
+    print(f"  Found {len(modules)} module vertices")
+
+    deps = get_dependency_map()
+    edge_count = sum(len(v) for v in deps.values())
+    print(f"  Loaded {edge_count} import edges")
+
+    print("[gremlin] Building report...")
+    report = build_report(modules, deps)
+
+    s = report["summary"]
+    print(f"\n  {s['total_modules']} modules, {s['total_theorems']} theorems, {s['total_sorries']} sorries")
+    print(f"  {s['total_dependency_edges']} dependency edges")
+
+    print(f"\n  Top 5 by theorem count:")
+    for r in report["by_theorems"][:5]:
+        print(f"    {r['theorems']:4d} thm  {r['sorries']:3d} sor  "
+              f"imp={r['imports']:2d}  dep={r['imported_by']:3d}  | {r['name'][:50]}")
+
+    print(f"\n  Top 5 most-imported:")
+    for r in report["most_imported"][:5]:
+        print(f"    {r['imported_by']:3d} dependents  | {r['name'][:55]}")
+
+    json_path = out_dir / f"lean_report_{ts}.json"
+    md_path = out_dir / f"lean_report_{ts}.md"
+    emit_json(report, json_path)
+    emit_markdown(report, md_path)
+
+    print(f"\n[gremlin] Reports written to {out_dir}/")
+    print(f"  To push to AppFloyo Cloud, import the Markdown file via the AppFloyo UI.")
+
+
+if __name__ == "__main__":
+    main()