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Theorem 19.35ri 1591
Description: Inference from Theorem 19.35 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.)
Hypothesis
Ref Expression
19.35ri.1  |-  ( A. x ph  ->  E. x ps )
Assertion
Ref Expression
19.35ri  |-  E. x
( ph  ->  ps )

Proof of Theorem 19.35ri
StepHypRef Expression
1 19.35ri.1 . 2  |-  ( A. x ph  ->  E. x ps )
2 19.35 1589 . 2  |-  ( E. x ( ph  ->  ps )  <->  ( A. x ph  ->  E. x ps )
)
31, 2mpbir 200 1  |-  E. x
( ph  ->  ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4   A.wal 1529   E.wex 1530
This theorem is referenced by:  qexmid  1829  axrep1  4134  axextnd  8215  axinfnd  8230
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1535  ax-5 1546
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1531
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