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<p>in order to change the <a href="page.php?w=cofinality">cofinality</a> of a <a href="page.php?w=large_cardinal">large cardinal</a> to a predetermined <a href="page.php?w=regular_cardinal">regular cardinal</a>. He proved that the least <a href="page.php?w=strongly_compact_cardinal">strongly compact cardinal</a> can be equal to the least <a href="page.php?w=measurable_cardinal">measurable cardinal</a> or the least <a href="page.php?w=supercompact_cardinal">supercompact cardinal</a>, but not to both. </p>

<p>Assuming the consistency of <a href="page.php?w=huge_cardinal">huge cardinal</a>s,</p><p>
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