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Theorem bj-19.23bit 34032
Description: Closed form of 19.23bi 2191. (Contributed by BJ, 20-Oct-2019.)
Assertion
Ref Expression
bj-19.23bit ((∃𝑥𝜑𝜓) → (𝜑𝜓))

Proof of Theorem bj-19.23bit
StepHypRef Expression
1 19.8a 2181 . 2 (𝜑 → ∃𝑥𝜑)
21imim1i 63 1 ((∃𝑥𝜑𝜓) → (𝜑𝜓))
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  ax-5 1912  ax-6 1971  ax-7 2016  ax-12 2178
This theorem depends on definitions:  df-bi 210  df-ex 1782
This theorem is referenced by:  bj-wnfanf  34060  bj-dfnnf3  34093
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