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Theorem 19.35i 1589
Description: Inference from Theorem 19.35 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.) (Revised by NM, 2-Feb-2015.)
Hypothesis
Ref Expression
19.35i.1  |-  E. x
( ph  ->  ps )
Assertion
Ref Expression
19.35i  |-  ( A. x ph  ->  E. x ps )

Proof of Theorem 19.35i
StepHypRef Expression
1 19.35i.1 . 2  |-  E. x
( ph  ->  ps )
2 19.35-1 1588 . 2  |-  ( E. x ( ph  ->  ps )  ->  ( A. x ph  ->  E. x ps ) )
31, 2ax-mp 5 1  |-  ( A. x ph  ->  E. x ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4   A.wal 1314   E.wex 1453
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1408  ax-gen 1410  ax-ie1 1454  ax-ie2 1455  ax-4 1472  ax-ial 1499
This theorem depends on definitions:  df-bi 116
This theorem is referenced by:  19.36i  1635  spimed  1703
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