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Add iunxprg to iset.mm
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iset.mm

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@@ -33562,6 +33562,20 @@ same disjoint variable group (meaning ` A ` cannot depend on ` x ` ) and
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RUIUEABCKUGUJUHUKAUDBDLAUDCDLMNAUDSDLUDUAUBOPQ $.
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$}
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${
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$d x A $. $d x B $. $d x D $. $d x E $.
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iunxprg.1 $e |- ( x = A -> C = D ) $.
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iunxprg.2 $e |- ( x = B -> C = E ) $.
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$( A pair index picks out two instances of an indexed union's argument.
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(Contributed by Alexander van der Vekens, 2-Feb-2018.) $)
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iunxprg $p |- ( ( A e. V /\ B e. W )
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-> U_ x e. { A , B } C = ( D u. E ) ) $=
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( wcel wa cpr ciun csn cun wceq df-pr iuneq1 iunxsng iunxun adantr adantl
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ax-mp eqtri uneq12d syl5eq ) BGKZCHKZLZABCMZDNZABOZDNZACOZDNZPZEFPULAUMUO
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PZDNZUQUKURQULUSQBCRAUKURDSUDAUMUODUAUEUJUNEUPFUHUNEQUIABDEGITUBUIUPFQUHA
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CDFHJTUCUFUG $.
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$}
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${
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$d x y z $. $d x z A $. $d z B $. $d y z C $.
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$( Separate an indexed union in the index of an indexed union.

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