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Theorem pm14.122a 27590
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 1621 . 2
2 sbc6g 3178 . . . 4
32bicomd 193 . . 3
43anbi2d 685 . 2
51, 4syl5bb 249 1
Colors of variables: wff set class
Syntax hints:  ->wi 4  <->wb 177  /\wa 359  A.wal 1549  =wceq 1652  e.wcel 1725  [.wsbc 3153
This theorem is referenced by:  pm14.122c  27592
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 2416
This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2422  df-cleq 2428  df-clel 2431  df-nfc 2560  df-v 2950  df-sbc 3154
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