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Theorem bnj101 31309
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 1932 1 𝑥𝜓
Colors of variables: wff setvar class
Syntax hints:  wi 4  wex 1875
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1891  ax-4 1905
This theorem depends on definitions:  df-bi 199  df-ex 1876
This theorem is referenced by:  bnj1023  31368  bnj1098  31371  bnj1101  31372  bnj1109  31374  bnj1468  31433  bnj907  31552  bnj1110  31567  bnj1118  31569  bnj1128  31575  bnj1145  31578  bnj1172  31586  bnj1174  31588  bnj1176  31590
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