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Theorem 19.28v 2029
Description: Theorem 19.28 of [Margaris] p. 90. (Contributed by NM, 25-Mar-2004.)
Assertion
Ref Expression
19.28v  |-  ( A. x ( ph  /\  ps )  <->  ( ph  /\  A. x ps ) )
Distinct variable group:    ph, x
Allowed substitution hint:    ps( x)

Proof of Theorem 19.28v
StepHypRef Expression
1 nfv 1629 . 2  |-  F/ x ph
2119.28 1787 1  |-  ( A. x ( ph  /\  ps )  <->  ( ph  /\  A. x ps ) )
Colors of variables: wff set class
Syntax hints:    <-> wb 178    /\ wa 360   A.wal 1532
This theorem is referenced by:  cbval2  2048  reu6  2922  tfrlem2  6346  dfer2  6615  kmlem14  7743  kmlem15  7744  19.28vv  26937  bnj1176  28068  bnj1186  28070
This theorem was proved from axioms:  ax-1 7  ax-2 8  ax-3 9  ax-mp 10  ax-5 1533  ax-gen 1536  ax-17 1628  ax-4 1692
This theorem depends on definitions:  df-bi 179  df-an 362  df-nf 1540
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