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Theorem bj-19.23bit 33922
Description: Closed form of 19.23bi 2180. (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 2170 . 2 (𝜑 → ∃𝑥𝜑)
21imim1i 63 1 ((∃𝑥𝜑𝜓) → (𝜑𝜓))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wex 1771
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1787  ax-4 1801  ax-5 1902  ax-6 1961  ax-7 2006  ax-12 2167
This theorem depends on definitions:  df-bi 208  df-ex 1772
This theorem is referenced by:  bj-wnfanf  33950  bj-dfnnf3  33983
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