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Theorem bnj101 30550
Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypotheses
Ref Expression
bnj101.1 𝑥𝜑
bnj101.2 (𝜑𝜓)
Assertion
Ref Expression
bnj101 𝑥𝜓

Proof of Theorem bnj101
StepHypRef Expression
1 bnj101.1 . 2 𝑥𝜑
2 bnj101.2 . 2 (𝜑𝜓)
31, 2eximii 1761 1 𝑥𝜓
Colors of variables: wff setvar class
Syntax hints:  wi 4  wex 1701
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1719  ax-4 1734
This theorem depends on definitions:  df-bi 197  df-ex 1702
This theorem is referenced by:  bnj1023  30612  bnj1098  30615  bnj1101  30616  bnj1109  30618  bnj1468  30677  bnj907  30796  bnj1110  30811  bnj1118  30813  bnj1128  30819  bnj1145  30822  bnj1172  30830  bnj1174  30832  bnj1176  30834
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