ScalingStacks

Proof (0CSK)

Source history

Lurie, Jacob

Detailed backend records are private. Public author/source status appears above.

The permanent identity and original source provenance are retained below.

{
  "key": "work:W000050:pdf:515109098ae5cd73bf266fa97bf498b4e8c7adb6e936be67e6fa9a86bb69020d:page:1467:bbox:90.0,202.116,522.364,213.906",
  "first_source_version": "2018-02-03",
  "chapter": "work-w000050",
  "work": "W000050",
  "kind": "Proof",
  "number": "",
  "title": "Proof. The necessity of conditions p1q, p2q, and p3q is obvious. For the converse, suppose that",
  "source_version": "2018-02-03",
  "source": {
    "pdf_sha256": "515109098ae5cd73bf266fa97bf498b4e8c7adb6e936be67e6fa9a86bb69020d",
    "page": 1467,
    "bbox": [
      90.0,
      202.116,
      522.364,
      213.906
    ]
  },
  "target": "/chapters/work-w000050.html",
  "identity_basis": "pinned original PDF hash and exact page/bbox; never display number",
  "status": "active"
}

Original mathematics by the credited authors. Source collection and HTML conversion remain in progress.