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Shorten using ssltd
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sctfn committed Sep 25, 2024
1 parent 5c9bf9c commit 6e06889
Showing 1 changed file with 12 additions and 13 deletions.
25 changes: 12 additions & 13 deletions set.mm
Original file line number Diff line number Diff line change
Expand Up @@ -532858,23 +532858,22 @@ property of surreals and will be used (via surreal cuts) to prove many
$( Union law for surreal set less than. (Contributed by Scott Fenton,
9-Dec-2021.) $)
ssltun1 $p |- ( ( A <<s C /\ B <<s C ) -> ( A u. B ) <<s C ) $=
( vx vy csslt wbr wa cvv wcel csur wss wral ssltex1 adantr ssltss1 adantl
cv ssltsep sylanbrc cun w3a unexg syl2an ssltex2 jca unssd ssltss2 ralunb
cslt 3jca brsslt ) ACFGZBCFGZHZABUAZIJZCIJZHUPKLZCKLZDRERUJGECMZDUPMZUBUP
CFGUOUQURUMAIJBIJUQUNACNBCNABIIUCUDUMURUNACUEOUFUOUSUTVBUOABKUMAKLUNACPOU
NBKLUMBCPQUGUNUTUMBCUHQUOVADAMZVADBMZVBUMVCUNDEACSOUNVDUMDEBCSQVADABUITUK
DEUPCULT $.
( vx vy csslt wbr cvv wcel ssltex1 adantr adantl csur ssltss1 cv ssltsepc
wss wi 3exp com12 wa cun unexd ssltex2 unssd ssltss2 cslt elun jaoi sylbi
wo 3imp21 ssltd ) ACFGZBCFGZUAZDEABUBZCHHUPABHHUNAHIUOACJKUOBHIUNBCJLUCUN
CHIUOACUDKUPABMUNAMQUOACNKUOBMQUNBCNLUEUNCMQUOACUFKDOZUQIZUPEOZCIZURUTUGG
ZUSURAIZURBIZUKUPVAVBRZRZURABUHVCVFVDUPVCVEUNVCVERUOUNVCVAVBACURUTPSKTUPV
DVEUOVDVERUNUOVDVAVBBCURUTPSLTUIUJULUM $.

$( Union law for surreal set less than. (Contributed by Scott Fenton,
9-Dec-2021.) $)
ssltun2 $p |- ( ( A <<s B /\ A <<s C ) -> A <<s ( B u. C ) ) $=
( vx vy csslt wbr wa cvv wcel csur wss wral adantr ssltex2 ssltss2 adantl
cv ssltsep sylanbrc cun w3a ssltex1 unexg syl2an jca ssltss1 unssd ralunb
cslt ralbii r19.26 bitri 3jca brsslt ) ABFGZACFGZHZAIJZBCUAZIJZHAKLZUTKLZ
DRERUJGZEUTMZDAMZUBAUTFGURUSVAUPUSUQABUCNUPBIJCIJVAUQABOACOBCIIUDUEUFURVB
VCVFUPVBUQABUGNURBCKUPBKLUQABPNUQCKLUPACPQUHURVDEBMZDAMZVDECMZDAMZVFUPVHU
QDEABSNUQVJUPDEACSQVFVGVIHZDAMVHVJHVEVKDAVDEBCUIUKVGVIDAULUMTUNDEAUTUOT
$.
( vx vy csslt wbr cvv wcel adantr ssltex2 adantl csur ssltss2 cv ssltsepc
wss wi 3exp com3r wa cun ssltex1 unexd ssltss1 unssd cslt elun jaoi sylbi
wo 3imp231 ssltd ) ABFGZACFGZUAZDEABCUBZHHUNAHIUOABUCJUPBCHHUNBHIUOABKJUO
CHIUNACKLUDUNAMQUOABUEJUPBCMUNBMQUOABNJUOCMQUNACNLUFEOZUQIZUPDOZAIZUTURUG
GZUSURBIZURCIZUKUPVAVBRRZURBCUHVCVEVDUPVAVCVBUNVAVCVBRRUOUNVAVCVBABUTURPS
JTUPVAVDVBUOVAVDVBRRUNUOVAVDVBACUTURPSLTUIUJULUM $.
$}

${
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