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Theorem exanOLD 1908
Description: Obsolete proof of exan 1907 as of 13-Jan-2018. (Contributed by NM, 18-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) (New usage is discouraged.) (Proof modification is discouraged.)
Hypothesis
Ref Expression
exan.1  |-  ( E. x ph  /\  ps )
Assertion
Ref Expression
exanOLD  |-  E. x
( ph  /\  ps )

Proof of Theorem exanOLD
StepHypRef Expression
1 nfe1 1750 . . . 4  |-  F/ x E. x ph
2119.28 1845 . . 3  |-  ( A. x ( E. x ph  /\  ps )  <->  ( E. x ph  /\  A. x ps ) )
3 exan.1 . . 3  |-  ( E. x ph  /\  ps )
42, 3mpgbi 1559 . 2  |-  ( E. x ph  /\  A. x ps )
5 19.29r 1609 . 2  |-  ( ( E. x ph  /\  A. x ps )  ->  E. x ( ph  /\  ps ) )
64, 5ax-mp 5 1  |-  E. x
( ph  /\  ps )
Colors of variables: wff set class
Syntax hints:    /\ wa 360   A.wal 1550   E.wex 1551
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-11 1764
This theorem depends on definitions:  df-bi 179  df-an 362  df-ex 1552  df-nf 1555
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