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Theorem bj-2exbi 34424
Description: Closed form of 2exbii 1855. (Contributed by BJ, 6-May-2019.)
Assertion
Ref Expression
bj-2exbi (∀𝑥𝑦(𝜑𝜓) → (∃𝑥𝑦𝜑 ↔ ∃𝑥𝑦𝜓))

Proof of Theorem bj-2exbi
StepHypRef Expression
1 exbi 1853 . 2 (∀𝑦(𝜑𝜓) → (∃𝑦𝜑 ↔ ∃𝑦𝜓))
21alexbii 1839 1 (∀𝑥𝑦(𝜑𝜓) → (∃𝑥𝑦𝜑 ↔ ∃𝑥𝑦𝜓))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 209  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
This theorem depends on definitions:  df-bi 210  df-ex 1787
This theorem is referenced by:  bj-3exbi  34425
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