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Theorem bnj101 33504
Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypotheses
Ref Expression
bnj101.1  |-  E. x ph
bnj101.2  |-  ( ph  ->  ps )
Assertion
Ref Expression
bnj101  |-  E. x ps

Proof of Theorem bnj101
StepHypRef Expression
1 bnj101.1 . 2  |-  E. x ph
2 bnj101.2 . 2  |-  ( ph  ->  ps )
31, 2eximii 1645 1  |-  E. x ps
Colors of variables: wff setvar class
Syntax hints:    -> wi 4   E.wex 1599
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1605  ax-4 1618
This theorem depends on definitions:  df-bi 185  df-ex 1600
This theorem is referenced by:  bnj1023  33567  bnj1098  33570  bnj1101  33571  bnj1109  33573  bnj1468  33632  bnj907  33751  bnj1110  33766  bnj1118  33768  bnj1128  33774  bnj1145  33777  bnj1172  33785  bnj1174  33787  bnj1176  33789
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