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[change] upciclem1: var change
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set.mm

Lines changed: 16 additions & 10 deletions
Original file line numberDiff line numberDiff line change
@@ -835462,22 +835462,28 @@ have GLB (expanded version). (Contributed by Zhi Wang,
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$}
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${
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$d B y $. $d F n y $. $d G n y $. $d H k n y $. $d J n y $.
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$d M n y $. $d N k n $. $d O n y $. $d X k n y $. $d Y k n y $.
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$d Z n y $. $d n ph y $.
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$d B y $. $d F k m $. $d F l m $. $d F k n y $. $d G k m $.
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$d G l m $. $d G k n y $. $d H k m $. $d H l m $. $d H k n y $.
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$d J n y $. $d M k m $. $d M l m $. $d M k n y $. $d N k m $.
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$d N l m $. $d N k n $. $d O k m $. $d O l m $. $d O k n y $.
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$d X k m $. $d X l m $. $d X k n y $. $d Y k m $. $d Y l m $.
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$d Y k n y $. $d Z k m $. $d Z l m $. $d Z k n y $.
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upciclem1.1 $e |- ( ph -> A. y e. B A. n e. ( Z J ( F ` y ) )
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E! k e. ( X H y )
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n = ( ( G ` k ) ( <. Z , ( F ` X ) >. O ( F ` y ) ) M ) ) $.
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upciclem1.y $e |- ( ph -> Y e. B ) $.
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upciclem1.n $e |- ( ph -> N e. ( Z J ( F ` Y ) ) ) $.
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$( Lemma for ~ upcic . (Contributed by Zhi Wang, 16-Sep-2025.) $)
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upciclem1 $p |- ( ph -> E! k e. ( X H Y )
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N = ( ( G ` k ) ( <. Z , ( F ` X ) >. O ( F ` Y ) ) M ) ) $=
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( co wceq cfv cop wreu eqeq1 reubidv wral fveq2 oveq2d oveqd eqeq2d oveq2
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cv reueqdv bitrd raleqbidv rspcdva ) AEULZDULGUAZJOMFUAUBZNFUAZLSZSZTZDMN
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HSZUCZKVBTZDVDUCEOUTISZKUQKTVCVFDVDUQKVBUDUEAUQURJUSBULZFUAZLSZSZTZDMVHHS
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ZUCZEOVIISZUFVEEVGUFBCNVHNTZVNVEEVOVGVPVIUTOIVHNFUGZUHVPVNVCDVMUCVEVPVLVC
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DVMVPVKVBUQVPVJVAURJVPVIUTUSLVQUHUIUJUEVPVCDVMVDVHNMHUKUMUNUOPQUPRUP $.
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upciclem1 $p |- ( ph -> E! l e. ( X H Y )
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N = ( ( G ` l ) ( <. Z , ( F ` X ) >. O ( F ` Y ) ) M ) ) $=
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( co vm cv cfv cop wceq wreu eqeq1 reubidv wral fveq2 oveq2d oveqd eqeq2d
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oveq2 reueqdv bitrd raleqbidv rspcdva oveq1d cbvreuvw bitri sylib ) AKDUB
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ZGUCZJOMFUCUDZNFUCZLTZTZUEZDMNHTZUFZKPUBZGUCZJVGTZUEZPVJUFZAEUBZVHUEZDVJU
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FZVKEOVFITZKVQKUEVRVIDVJVQKVHUGUHAVQVDJVEBUBZFUCZLTZTZUEZDMWAHTZUFZEOWBIT
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ZUIVSEVTUIBCNWANUEZWGVSEWHVTWIWBVFOIWANFUJZUKWIWGVRDWFUFVSWIWEVRDWFWIWDVH
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VQWIWCVGVDJWIWBVFVELWJUKULUMUHWIVRDWFVJWANMHUNUOUPUQQRURSURVKKUAUBZGUCZJV
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GTZUEZUAVJUFVPVIWNDUAVJVCWKUEZVHWMKWOVDWLJVGVCWKGUJUSUMUTWNVOUAPVJWKVLUEZ
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WMVNKWPWLVMJVGWKVLGUJUSUMUTVAVB $.
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$}
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${

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