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To this end, we formalise the first sections of the chapter\n                    <jats:italic>The Structure of the General Surreal Number<\/jats:italic>\n                    in Conway\u2019s book. In particular, we define omega maps and prove the existence and uniqueness of the Conway name for surreal numbers.\n                  <\/jats:p>","DOI":"10.2478\/forma-2025-0003","type":"journal-article","created":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T16:21:37Z","timestamp":1760372497000},"page":"25-41","source":"Crossref","is-referenced-by-count":0,"title":["Conway\u2019s Normal Form in the Mizar System"],"prefix":"10.2478","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7099-1669","authenticated-orcid":false,"given":"Karol","family":"P\u0105k","sequence":"first","affiliation":[{"name":"Faculty of Computer Science , University of Bia\u0142ystok , Poland"}]}],"member":"374","published-online":{"date-parts":[[2025,9,30]]},"reference":[{"key":"2026033010152343020_j_forma-2025-0003_ref_001","doi-asserted-by":"crossref","unstructured":"Vincent Bagayoko and Joris van der Hoeven. Surreal substructures. 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