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Theorem opcon2b 29995
 Description: Orthocomplement contraposition law. (negcon2 9354 analog.) (Contributed by NM, 16-Jan-2012.)
Hypotheses
Ref Expression
opoccl.b
opoccl.o
Assertion
Ref Expression
opcon2b

Proof of Theorem opcon2b
StepHypRef Expression
1 opoccl.b . . . . 5
2 opoccl.o . . . . 5
31, 2opoccl 29992 . . . 4
433adant2 976 . . 3
51, 2opcon3b 29994 . . 3
64, 5syld3an3 1229 . 2
71, 2opococ 29993 . . . 4
873adant2 976 . . 3
98eqeq1d 2444 . 2
106, 9bitrd 245 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 177   w3a 936   wceq 1652   wcel 1725  cfv 5454  cbs 13469  coc 13537  cops 29970 This theorem is referenced by:  opcon1b  29996  riotaocN  30007  glbconxN  30175 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2417  ax-nul 4338 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-3an 938  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-eu 2285  df-clab 2423  df-cleq 2429  df-clel 2432  df-nfc 2561  df-ne 2601  df-ral 2710  df-rex 2711  df-rab 2714  df-v 2958  df-sbc 3162  df-dif 3323  df-un 3325  df-in 3327  df-ss 3334  df-nul 3629  df-if 3740  df-sn 3820  df-pr 3821  df-op 3823  df-uni 4016  df-br 4213  df-iota 5418  df-fv 5462  df-ov 6084  df-oposet 29974
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