{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T07:57:36Z","timestamp":1648972656200},"reference-count":22,"publisher":"Walter de Gruyter GmbH","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011,1,1]]},"DOI":"10.2478\/v10037-011-0015-4","type":"journal-article","created":{"date-parts":[[2011,7,19]],"date-time":"2011-07-19T01:14:30Z","timestamp":1311038070000},"source":"Crossref","is-referenced-by-count":0,"title":["Sorting by Exchanging"],"prefix":"10.2478","volume":"19","author":[{"given":"Grzegorz","family":"Bancerek","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","reference":[{"issue":"2","key":"1","first-page":"377","article-title":"Cardinal numbers","volume":"1","author":"Grzegorz Bancerek","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"3","key":"2","first-page":"515","article-title":"Ordinal arithmetics","volume":"1","author":"Grzegorz Bancerek","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"1","key":"3","first-page":"91","article-title":"The ordinal numbers","volume":"1","author":"Grzegorz Bancerek","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"2","key":"4","first-page":"281","article-title":"Sequences of ordinal numbers","volume":"1","author":"Grzegorz Bancerek","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"1","key":"5","first-page":"93","article-title":"Directed sets, nets, ideals, filters, and maps","volume":"6","author":"Grzegorz Bancerek","year":"1997","journal-title":"Formalized Mathematics"},{"issue":"3","key":"6","doi-asserted-by":"publisher","first-page":"87","DOI":"10.2478\/v10037-007-0011-x","article-title":"Mizar analysis of algorithms: Preliminaries","volume":"15","author":"Grzegorz Bancerek","year":"2007","journal-title":"Formalized Mathematics"},{"issue":"2","key":"7","doi-asserted-by":"publisher","first-page":"83","DOI":"10.2478\/v10037-011-0014-5","article-title":"Veblen hierarchy","volume":"19","author":"Grzegorz Bancerek","year":"2011","journal-title":"Formalized Mathematics"},{"issue":"1","key":"8","first-page":"107","article-title":"Segments of natural numbers and finite sequences","volume":"1","author":"Grzegorz Bancerek","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"4","key":"9","first-page":"485","article-title":"Miscellaneous facts about functions","volume":"5","author":"Grzegorz Bancerek","year":"1996","journal-title":"Formalized Mathematics"},{"issue":"1","key":"10","first-page":"245","article-title":"Basic functions and operations on functions","volume":"1","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"1","key":"11","first-page":"175","article-title":"Binary operations","volume":"1","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"1","key":"12","first-page":"55","article-title":"Functions and their basic properties","volume":"1","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"1","key":"13","first-page":"153","article-title":"Functions from a set to a set","volume":"1","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"2","key":"14","first-page":"357","article-title":"Partial functions","volume":"1","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"1","key":"15","first-page":"47","article-title":"Some basic properties of sets","volume":"1","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"1","key":"16","first-page":"165","article-title":"Finite sets","volume":"1","author":"Agata Darmochwa\u0142","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"4","key":"17","first-page":"341","article-title":"On the sets inhabited by numbers","volume":"11","author":"Andrzej Trybulec","year":"2003","journal-title":"Formalized Mathematics"},{"issue":"2","key":"18","first-page":"387","article-title":"Kuratowski - Zorn lemma","volume":"1","author":"Wojciech Trybulec","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"1","key":"19","first-page":"67","article-title":"Properties of subsets","volume":"1","author":"Zinaida Trybulec","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"4","key":"20","first-page":"825","article-title":"Zero-based finite sequences","volume":"9","author":"Tetsuya Tsunetou","year":"2001","journal-title":"Formalized Mathematics"},{"issue":"1","key":"21","first-page":"73","article-title":"Relations and their basic properties","volume":"1","author":"Edmund Woronowicz","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"1","key":"22","first-page":"85","article-title":"Properties of binary relations","volume":"1","author":"Edmund Woronowicz","year":"1990","journal-title":"Formalized Mathematics"}],"container-title":["Formalized Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/j\/forma.2011.19.issue-2\/v10037-011-0015-4\/v10037-011-0015-4.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,30]],"date-time":"2020-05-30T15:28:16Z","timestamp":1590852496000},"score":1,"resource":{"primary":{"URL":"https:\/\/content.sciendo.com\/doi\/10.2478\/v10037-011-0015-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1,1]]},"references-count":22,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.2478\/v10037-011-0015-4","relation":{},"ISSN":["1898-9934","1426-2630"],"issn-type":[{"value":"1898-9934","type":"electronic"},{"value":"1426-2630","type":"print"}],"subject":[],"published":{"date-parts":[[2011,1,1]]}}}