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Theorem 19.28v 1823
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 ax-17 1460 . 2  |-  ( ph  ->  A. x ph )
2119.28h 1495 1  |-  ( A. x ( ph  /\  ps )  <->  ( ph  /\  A. x ps ) )
Colors of variables: wff set class
Syntax hints:    /\ wa 102    <-> wb 103   A.wal 1283
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-5 1377  ax-gen 1379  ax-4 1441  ax-17 1460
This theorem depends on definitions:  df-bi 115
This theorem is referenced by:  reu6  2790  dfer2  6194
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