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Theorem 19.36v 1849
Description: Special case of Theorem 19.36 of [Margaris] p. 90. (Contributed by NM, 18-Aug-1993.)
Assertion
Ref Expression
19.36v  |-  ( E. x ( ph  ->  ps )  <->  ( A. x ph  ->  ps ) )
Distinct variable group:    ps, x
Allowed substitution hint:    ph( x)

Proof of Theorem 19.36v
StepHypRef Expression
1 nfv 1609 . 2  |-  F/ x ps
2119.36 1819 1  |-  ( E. x ( ph  ->  ps )  <->  ( A. x ph  ->  ps ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    <-> wb 176   A.wal 1530   E.wex 1531
This theorem is referenced by:  19.12vv  1851  axext2  2278  vtocl2  2852  vtocl3  2853  19.36vv  27684  bnj1090  29325  19.12vvOLD7  29655
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1536  ax-5 1547  ax-17 1606  ax-9 1644  ax-8 1661  ax-6 1715  ax-11 1727
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1532  df-nf 1535
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