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Apply standard script to other databases. (metamath#4235)
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benjub authored Sep 23, 2024
1 parent 9a7001e commit a8680d4
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4 changes: 2 additions & 2 deletions big-unifier.mm
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Expand Up @@ -89,7 +89,7 @@ Dwight Megill (1950--2021). For more information, visit
$( A three-step proof that applies ~ ax-mp to the two axioms. The proof was
saved in compressed format with "SAVE PROOF theorem1 / COMPRESSED" in the
Metamath program. $)
Metamath program. (Contributed by NM, 30-Aug-2008.) $)
theorem1 $p |- e ( e ( e ( x , e ( y , e ( e ( e ( y , z ) , e ( u , z ) )
, u ) ) ) , v ) , e ( x , v ) ) $=
( wi ax-min ax-maj ax-mp ) ABBCFECFFEFFZFZKDFADFFZAFZFJMFFZKNJFFNFZFAOFFZMP
Expand All @@ -98,7 +98,7 @@ Dwight Megill (1950--2021). For more information, visit
$( This is the same as ~ theorem1 , except that the proof is saved in
uncompressed format with "SAVE PROOF theorem1u / NORMAL" in the Metamath
program. Note the size difference in the compressed versus uncompressed
proofs. $)
proofs. (Contributed by NM, 30-Aug-2008.) $)
theorem1u $p |- e ( e ( e ( x , e ( y , e ( e ( e ( y , z ) , e ( u , z ) )
, u ) ) ) , v ) , e ( x , v ) ) $=
wx wy wy wz wi wu wz wi wi wu wi wi wi wx wy wy wz wi wu wz wi wi wu wi wi
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2 changes: 1 addition & 1 deletion demo0.mm
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Expand Up @@ -73,7 +73,7 @@ Dwight Megill (1950--2021). For more information, visit
mp $a |- Q $.
$}

$( Prove a theorem. $)
$( Prove a theorem. (Contributed by NM, 1-Jan-2004.) $)
th1 $p |- t = t $=
$( Here is its proof: $)
tt tze tpl tt weq tt tt weq tt a2 tt tze tpl tt weq tt tze tpl tt weq tt tt
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2 changes: 1 addition & 1 deletion nf.mm
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Expand Up @@ -19058,7 +19058,7 @@ might think (incorrectly) that it could be defined by ` E! x E! y ph ` .
definitions. This theorem shows that the erroneous definition can be
repaired by conjoining ` A. x E* y ph ` as an additional condition. The
correct definition apparently has never been published. ( ` E* ` means
"there exists at most one".) (Contributed by NM, 26-Oct-2003.) $)
"there exists at most one".) (Contributed by NM, 26-Oct-2003.) $)
2eu5 $p |- ( ( E! x E! y ph /\ A. x E* y ph ) <->
( E. x E. y ph /\ E. z E. w A. x A. y ( ph -> ( x = z /\ y = w ) ) ) ) $=
( weu wmo wal wa wex weq 2eu1 pm5.32ri eumo adantl 2moex syl pm4.71i 2eu4
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