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Theorem 19.28v 1939
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 1683 . 2  |-  F/ x ph
2119.28 1871 1  |-  ( A. x ( ph  /\  ps )  <->  ( ph  /\  A. x ps ) )
Colors of variables: wff setvar class
Syntax hints:    <-> wb 184    /\ wa 369   A.wal 1377
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1601  ax-4 1612  ax-5 1680  ax-6 1719  ax-7 1739  ax-12 1803
This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1597  df-nf 1600
This theorem is referenced by:  reu6  3297  dfer2  7324  kmlem14  8555  kmlem15  8556  19.28vv  31199  bnj1176  33546  bnj1186  33548
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