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Theorem eximd 1548
Description: Deduction from Theorem 19.22 of [Margaris] p. 90. (Contributed by Mario Carneiro, 24-Sep-2016.)
Hypotheses
Ref Expression
eximd.1  |-  F/ x ph
eximd.2  |-  ( ph  ->  ( ps  ->  ch ) )
Assertion
Ref Expression
eximd  |-  ( ph  ->  ( E. x ps 
->  E. x ch )
)

Proof of Theorem eximd
StepHypRef Expression
1 eximd.1 . . 3  |-  F/ x ph
21nfri 1457 . 2  |-  ( ph  ->  A. x ph )
3 eximd.2 . 2  |-  ( ph  ->  ( ps  ->  ch ) )
42, 3eximdh 1547 1  |-  ( ph  ->  ( E. x ps 
->  E. x ch )
)
Colors of variables: wff set class
Syntax hints:    -> wi 4   F/wnf 1394   E.wex 1426
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 1381  ax-gen 1383  ax-ie1 1427  ax-ie2 1428  ax-4 1445  ax-ial 1472
This theorem depends on definitions:  df-bi 115  df-nf 1395
This theorem is referenced by:  19.41  1621  mo2icl  2794  copsexg  4069  ssopab2  4100  eunex  4375  spc2ed  5990
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