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Theorem exbi 1849
Description: Theorem 19.18 of [Margaris] p. 90. (Contributed by NM, 12-Mar-1993.)
Assertion
Ref Expression
exbi (∀𝑥(𝜑𝜓) → (∃𝑥𝜑 ↔ ∃𝑥𝜓))

Proof of Theorem exbi
StepHypRef Expression
1 id 22 . 2 ((𝜑𝜓) → (𝜑𝜓))
21alexbii 1835 1 (∀𝑥(𝜑𝜓) → (∃𝑥𝜑 ↔ ∃𝑥𝜓))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 205  wal 1539  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
This theorem depends on definitions:  df-bi 206  df-ex 1782
This theorem is referenced by:  exbii  1850  nfbiit  1853  19.19  2222  eubi  2582  bj-2exbi  35047  bj-3exbi  35048  bj-hbyfrbi  35062  2exbi  42602  rexbidar  42668  onfrALTlem1VD  43114  csbxpgVD  43118  csbrngVD  43120  csbunigVD  43122  e2ebindVD  43136  e2ebindALT  43153
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