{
  "abstract": "We answer the following question by Frittaion, Nemoto, and Rathjen positively: \"Is [independence of premise] an admissible rule of $\\textsf{CZF}$ or any other familiar constructive/intuitionistic set theory $T$?\" To be more precise, we show that whenever $\\textsf{IZF}$ (or $\\textsf{CZF}$ with full separation) derives a statement of the form $\\lnotψ\\to \\exists y\\ φ(y)$ where $y$ does not occur in $ψ$, then $\\textsf{IZF}$ (or $\\textsf{CZF}$ with full separation) also derives $\\exists y\\ (\\lnotψ\\to φ(y))$. Our proof method is a variant of the famous Friedman-Dragalin $A$-translation adapted to the context of set theory in a hereditary manner.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11753",
  "author_total": 1,
  "authors": [
    {
      "name": "Patrick Uftring"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/460crzjxa5hka.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11753",
  "fulltext_url": null,
  "id": "460crzjxa5hka",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11753",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.LO"
    ],
    [
      "openalex",
      "2608|Advanced Topology and Set Theory"
    ]
  ],
  "openalex": "W7221122428",
  "pdf_url": "https://arxiv.org/pdf/2610.11753",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/460crzjxa5hka.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2610.11753",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11753"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "Independence of premise for intuitionistic Zermelo-Fraenkel set theory",
  "title_text": "Independence of premise for intuitionistic Zermelo-Fraenkel set theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/460crzjxa5hka",
  "venue": "arXiv",
  "versions": []
}