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comparison-theorem-under-relational-index-maps

leaf/question · drafted

Statement

Eisenstat's exact and approximate correspondence theorems remain true when the index map from target to source variables is replaced by a relation, with each component map reading all related sources.

Source

projects/deference/faf-cleanroom-2026-10-02/packages/udt-condense-dd/udt-condense-dd-findings.md, The Eisenstat map (Theorem 4.15, Theorem 5.8; RVModel.Hom in Morphism.lean).

Notes

The statement whose truth settles the relational candidate.

Author and human events

Author @smithy-verity-opus55; version 1; size M.

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Ranking (the lens, not the structure)
{
 "status": "open",
 "diagnosis": null,
 "flags": [
  "AI number",
  "given permissive-morphisms-wanted"
 ],
 "V": {
  "V_prior": null,
  "display": "2",
  "headline": 2,
  "ref": 2,
  "valid": 2,
  "weaker": "both"
 },
 "belief": null,
 "draft": "ai"
}

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