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Theorem ax12OLD 2024
 Description: Obsolete proof of ax12 2023 as of 31-Jan-2018. (Contributed by NM, 21-Dec-2015.) (New usage is discouraged.) (Proof modification is discouraged.)
Assertion
Ref Expression
ax12OLD

Proof of Theorem ax12OLD
StepHypRef Expression
1 sp 1766 . . . . . 6
21con3i 130 . . . . 5
32adantr 453 . . . 4
4 equtrr 1698 . . . . . . . 8
54equcoms 1696 . . . . . . 7
65con3rr3 131 . . . . . 6
76imp 420 . . . . 5
8 sp 1766 . . . . 5
97, 8nsyl 116 . . . 4
10 ax12o 2014 . . . 4
113, 9, 10sylc 59 . . 3
1211ex 425 . 2
1312pm2.43d 47 1
 Colors of variables: wff set class Syntax hints:  -.wn 3  ->wi 4  /\wa 360  A.wal 1550 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1628  ax-9 1669  ax-8 1690  ax-6 1747  ax-7 1752  ax-11 1764  ax-12 1954 This theorem depends on definitions:  df-bi 179  df-an 362  df-ex 1552  df-nf 1555
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