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Theorem bnj101 32018
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 1838 1 𝑥𝜓
Colors of variables: wff setvar class
Syntax hints:  wi 4  wex 1781
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797  ax-4 1811
This theorem depends on definitions:  df-bi 210  df-ex 1782
This theorem is referenced by:  bnj1023  32077  bnj1098  32080  bnj1101  32081  bnj1109  32083  bnj1468  32143  bnj907  32264  bnj1110  32279  bnj1118  32281  bnj1128  32287  bnj1145  32290  bnj1172  32298  bnj1174  32300  bnj1176  32302
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