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Theorem 19.27v 1920
Description: Theorem 19.27 of [Margaris] p. 90. (Contributed by NM, 3-Jun-2004.)
Assertion
Ref Expression
19.27v  |-  ( A. x ( ph  /\  ps )  <->  ( A. x ph  /\  ps ) )
Distinct variable group:    ps, x
Allowed substitution hint:    ph( x)

Proof of Theorem 19.27v
StepHypRef Expression
1 nfv 1630 . 2  |-  F/ x ps
2119.27 1843 1  |-  ( A. x ( ph  /\  ps )  <->  ( A. x ph  /\  ps ) )
Colors of variables: wff set class
Syntax hints:    <-> wb 178    /\ wa 360   A.wal 1550
This theorem is referenced by:  ax12olem2OLD  2015  rexrsb  27961
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 1627  ax-9 1668  ax-8 1689  ax-11 1763
This theorem depends on definitions:  df-bi 179  df-an 362  df-ex 1552  df-nf 1555
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