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Theorem bj-spnfw 34494
Description: Theorem close to a closed form of spnfw 1989. (Contributed by BJ, 12-May-2019.)
Assertion
Ref Expression
bj-spnfw ((∃𝑥𝜑𝜓) → (∀𝑥𝜑𝜓))

Proof of Theorem bj-spnfw
StepHypRef Expression
1 19.2 1986 . 2 (∀𝑥𝜑 → ∃𝑥𝜑)
21imim1i 63 1 ((∃𝑥𝜑𝜓) → (∀𝑥𝜑𝜓))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1540  wex 1786
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1802  ax-4 1816  ax-6 1975
This theorem depends on definitions:  df-bi 210  df-ex 1787
This theorem is referenced by: (None)
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