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Theorem pm14.122a 27934
Description: Theorem *14.122 in [WhiteheadRussell] p. 185. (Contributed by Andrew Salmon, 9-Jun-2011.)
Assertion
Ref Expression
pm14.122a
Distinct variable group:   ,
Allowed substitution hints:   ( )   ( )

Proof of Theorem pm14.122a
StepHypRef Expression
1 albiim 1623 . 2
2 sbc6g 3199 . . . 4
32bicomd 194 . . 3
43anbi2d 686 . 2
51, 4syl5bb 250 1
Colors of variables: wff set class
Syntax hints:  ->wi 4  <->wb 178  /\wa 360  A.wal 1550  =wceq 1654  e.wcel 1728  [.wsbc 3174
This theorem is referenced by:  pm14.122c  27936
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 1955  ax-ext 2428
This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1661  df-clab 2434  df-cleq 2440  df-clel 2443  df-nfc 2572  df-v 2971  df-sbc 3175
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