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Theorem 19.36aiv 1850
Description: Inference from Theorem 19.36 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.)
Hypothesis
Ref Expression
19.36aiv.1  |-  E. x
( ph  ->  ps )
Assertion
Ref Expression
19.36aiv  |-  ( A. x ph  ->  ps )
Distinct variable group:    ps, x
Allowed substitution hint:    ph( x)

Proof of Theorem 19.36aiv
StepHypRef Expression
1 nfv 1609 . 2  |-  F/ x ps
2 19.36aiv.1 . 2  |-  E. x
( ph  ->  ps )
31, 219.36i 1820 1  |-  ( A. x ph  ->  ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4   A.wal 1530   E.wex 1531
This theorem is referenced by:  vtocl2  2852  vtocl3  2853  zfcndext  8251
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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