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<div class="mw-indicators"> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Japanese mathematician (1926–2017)</div> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">Gaisi Takeuti</div></th></tr><tr><td colspan="2" class="infobox-subheader" style="font-size:125%;"><div class="nickname" lang="ja">竹内外史</div></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none">(<span class="bday">1926-01-25</span>)</span>January 25, 1926</td></tr><tr><th scope="row" class="infobox-label">Died</th><td class="infobox-data">May 10, 2017<span style="display:none">(2017-05-10)</span> (aged 91)</td></tr><tr><th scope="row" class="infobox-label">Nationality</th><td class="infobox-data category">Japanese</td></tr><tr><th scope="row" class="infobox-label">Education</th><td class="infobox-data">Tokyo University</td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data">Princeton</td></tr><tr><th scope="row" class="infobox-label">Known for</th><td class="infobox-data">Work in proof theory</td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><b>Scientific career</b></td></tr><tr><th scope="row" class="infobox-label">Fields</th><td class="infobox-data category">Mathematics</td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data">University of Illinois at Urbana–Champaign</td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p><b>Gaisi Takeuti</b><span style="font-weight: normal"> (<span title="Japanese-language text"><span lang="ja">竹内外史</span></span>, <span title="Hepburn transliteration"><i lang="ja-Latn">Takeuchi, Gaishi</i></span>, January 25, 1926 – May 10, 2017<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>)</span> was a Japanese <a href="/wiki/Mathematician" title="Mathematician">mathematician</a>, known for his work in <a href="/wiki/Proof_theory" title="Proof theory">proof theory</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p>After graduating from <a href="/wiki/Tokyo_University" class="mw-redirect" title="Tokyo University">Tokyo University</a>, he went to <a href="/wiki/Princeton_University" title="Princeton University">Princeton</a> to study under <a href="/wiki/Kurt_G%C3%B6del" title="Kurt Gödel">Kurt Gödel</a>. He later became a professor at the <a href="/wiki/University_of_Illinois_at_Urbana%E2%80%93Champaign" class="mw-redirect" title="University of Illinois at Urbana–Champaign">University of Illinois at Urbana–Champaign</a>. Takeuti was president (2003–2009) of the <a href="/wiki/Kurt_G%C3%B6del_Society" title="Kurt Gödel Society">Kurt Gödel Society</a>, having worked on the book <i>Memoirs of a Proof Theorist: Godel and Other Logicians</i>. His goal was to prove the <a href="/wiki/Consistency" title="Consistency">consistency</a> of the real numbers. To this end, <a href="/wiki/Takeuti%27s_conjecture" title="Takeuti's conjecture">Takeuti's conjecture</a> speculates that a <a href="/wiki/Sequent_calculus" title="Sequent calculus">sequent</a> formalisation of <a href="/wiki/Second-order_logic" title="Second-order logic">second-order logic</a> has <a href="/wiki/Cut-elimination_theorem" title="Cut-elimination theorem">cut-elimination</a>.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> He is also known for his work on <a href="/wiki/Ordinal_notation" title="Ordinal notation">ordinal diagrams</a> with Akiko Kino. </p> <div class="mw-heading mw-heading2"><h2 id="Publications">Publications</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Gaisi_Takeuti&action=edit&section=1" title="Edit section: Publications"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFTakeuti1953" class="citation journal cs1">Takeuti, Gaisi (1953). <a rel="nofollow" class="external text" href="https://doi.org/10.4099%2Fjjm1924.23.0_39">"On a generalized logic calculus"</a>. <i><a href="/w/index.php?title=Japanese_Journal_of_Mathematics&action=edit&redlink=1" class="new" title="Japanese Journal of Mathematics (page does not exist)">Japanese Journal of Mathematics</a></i>. <b>23</b>: 39–96. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.4099%2Fjjm1924.23.0_39">10.4099/jjm1924.23.0_39</a></span>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0075-3432">0075-3432</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Japanese+Journal+of+Mathematics&rft.atitle=On+a+generalized+logic+calculus&rft.volume=23&rft.pages=39-96&rft.date=1953&rft_id=info%3Adoi%2F10.4099%2Fjjm1924.23.0_39&rft.issn=0075-3432&rft.aulast=Takeuti&rft.aufirst=Gaisi&rft_id=https%3A%2F%2Fdoi.org%2F10.4099%252Fjjm1924.23.0_39&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGaisi+Takeuti" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFTakeuti1954" class="citation journal cs1">Takeuti, Gaisi (1954). <a rel="nofollow" class="external text" href="https://doi.org/10.4099%2Fjjm1924.24.0_149">"Errata to 'On a Generalized Logic Calculus'<span class="cs1-kern-right"></span>"</a>. <i>Japanese Journal of Mathematics</i>. <b>24</b>: 149–156. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.4099%2Fjjm1924.24.0_149">10.4099/jjm1924.24.0_149</a></span>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0075-3432">0075-3432</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Japanese+Journal+of+Mathematics&rft.atitle=Errata+to+%27On+a+Generalized+Logic+Calculus%27&rft.volume=24&rft.pages=149-156&rft.date=1954&rft_id=info%3Adoi%2F10.4099%2Fjjm1924.24.0_149&rft.issn=0075-3432&rft.aulast=Takeuti&rft.aufirst=Gaisi&rft_id=https%3A%2F%2Fdoi.org%2F10.4099%252Fjjm1924.24.0_149&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGaisi+Takeuti" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFTakeutiZaring2011" class="citation cs2">Takeuti, Gaisi; Zaring, Wilson M. (2011) [1982], <a rel="nofollow" class="external text" href="https://books.google.com/books?id=NiMBCAAAQBAJ"><i>Introduction to axiomatic set theory</i></a>, Graduate Texts in Mathematics, vol. 1 (2nd ed.), New York-Berlin: Springer-Verlag, <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2F978-1-4613-8168-6">10.1007/978-1-4613-8168-6</a>, <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-4613-8170-9" title="Special:BookSources/978-1-4613-8170-9"><bdi>978-1-4613-8170-9</bdi></a>, <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a> <a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=0349390">0349390</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Introduction+to+axiomatic+set+theory&rft.place=New+York-Berlin&rft.series=Graduate+Texts+in+Mathematics&rft.edition=2nd&rft.pub=Springer-Verlag&rft.date=2011&rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D0349390%23id-name%3DMR&rft_id=info%3Adoi%2F10.1007%2F978-1-4613-8168-6&rft.isbn=978-1-4613-8170-9&rft.aulast=Takeuti&rft.aufirst=Gaisi&rft.au=Zaring%2C+Wilson+M.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DNiMBCAAAQBAJ&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGaisi+Takeuti" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFTakeutiZaring1973" class="citation cs2">Takeuti, Gaisi; Zaring, Wilson M. (1973), <i>Axiomatic set theory</i>, Graduate Texts in Mathematics, vol. 8, New York-Berlin: Springer-Verlag, <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2F978-1-4684-8751-0">10.1007/978-1-4684-8751-0</a>, <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-387-90050-6" title="Special:BookSources/978-0-387-90050-6"><bdi>978-0-387-90050-6</bdi></a>, <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a> <a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=0416914">0416914</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Axiomatic+set+theory&rft.place=New+York-Berlin&rft.series=Graduate+Texts+in+Mathematics&rft.pub=Springer-Verlag&rft.date=1973&rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D0416914%23id-name%3DMR&rft_id=info%3Adoi%2F10.1007%2F978-1-4684-8751-0&rft.isbn=978-0-387-90050-6&rft.aulast=Takeuti&rft.aufirst=Gaisi&rft.au=Zaring%2C+Wilson+M.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGaisi+Takeuti" class="Z3988"></span> <a rel="nofollow" class="external text" href="https://books.google.com/books?id=g1ftBwAAQBAJ">2013 Dover reprint</a></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFTakeuti2013" class="citation book cs1">Takeuti, Gaisi (2013) [1975]. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=Idl6K-W69NYC"><i>Proof theory</i></a> (Second ed.). Mineola, New York: Dover Publications. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-486-49073-1" title="Special:BookSources/978-0-486-49073-1"><bdi>978-0-486-49073-1</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Proof+theory&rft.place=Mineola%2C+New+York&rft.edition=Second&rft.pub=Dover+Publications&rft.date=2013&rft.isbn=978-0-486-49073-1&rft.aulast=Takeuti&rft.aufirst=Gaisi&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DIdl6K-W69NYC&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGaisi+Takeuti" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFTakeuti2015" class="citation cs2">Takeuti, Gaisi (2015) [1978], <a rel="nofollow" class="external text" href="https://books.google.com/books?id=b6x9BgAAQBAJ"><i>Two applications of logic to mathematics</i></a>, Publications of the Mathematical Society of Japan, vol. 13, Princeton, N.J.: Princeton University Press, <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-69-161022-1" title="Special:BookSources/978-0-69-161022-1"><bdi>978-0-69-161022-1</bdi></a>, <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a> <a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=0505474">0505474</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Two+applications+of+logic+to+mathematics&rft.place=Princeton%2C+N.J.&rft.series=Publications+of+the+Mathematical+Society+of+Japan&rft.pub=Princeton+University+Press&rft.date=2015&rft.isbn=978-0-69-161022-1&rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D0505474%23id-name%3DMR&rft.aulast=Takeuti&rft.aufirst=Gaisi&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3Db6x9BgAAQBAJ&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGaisi+Takeuti" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFTakeuti2003" class="citation cs2">Takeuti, Gaisi (2003) [1998], <a rel="nofollow" class="external text" href="https://books.google.com/books?id=SUppDQAAQBAJ"><i>Memoirs of a proof theorist. Gödel and other logicians</i></a>, River Edge, NJ: World Scientific Publishing Co., Inc., <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-981-238-279-5" title="Special:BookSources/978-981-238-279-5"><bdi>978-981-238-279-5</bdi></a>, <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a> <a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1984952">1984952</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Memoirs+of+a+proof+theorist.+G%C3%B6del+and+other+logicians&rft.place=River+Edge%2C+NJ&rft.pub=World+Scientific+Publishing+Co.%2C+Inc.&rft.date=2003&rft.isbn=978-981-238-279-5&rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1984952%23id-name%3DMR&rft.aulast=Takeuti&rft.aufirst=Gaisi&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DSUppDQAAQBAJ&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGaisi+Takeuti" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="Notes">Notes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Gaisi_Takeuti&action=edit&section=2" title="Edit section: Notes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSam_Buss2017" class="citation web cs1">Sam Buss (2017-05-10). <a rel="nofollow" class="external text" href="https://list.math.cas.cz/pipermail/proof-complexity/2017-May/000206.html">"[Proof Complexity] Gaisi Takeuti"</a>. Proof-Complexity mailing list<span class="reference-accessdate">. Retrieved <span class="nowrap">2019-01-13</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=%5BProof+Complexity%5D+Gaisi+Takeuti&rft.pub=Proof-Complexity+mailing+list&rft.date=2017-05-10&rft.au=Sam+Buss&rft_id=https%3A%2F%2Flist.math.cas.cz%2Fpipermail%2Fproof-complexity%2F2017-May%2F000206.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AGaisi+Takeuti" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><a href="#CITEREFTakeuti2013">Takeuti 2013</a>.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><a href="#CITEREFTakeuti1953">Takeuti 1953</a>. An erratum to this article was published in the same journal as (<a href="#CITEREFTakeuti1954">Takeuti 1954</a>).</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Gaisi_Takeuti&action=edit&section=3" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239009302">.mw-parser-output .portalbox{padding:0;margin:0.5em 0;display:table;box-sizing:border-box;max-width:175px;list-style:none}.mw-parser-output .portalborder{border:1px solid var(--border-color-base,#a2a9b1);padding:0.1em;background:var(--background-color-neutral-subtle,#f8f9fa)}.mw-parser-output .portalbox-entry{display:table-row;font-size:85%;line-height:110%;height:1.9em;font-style:italic;font-weight:bold}.mw-parser-output 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