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Theorem exbi 1922
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 1909 1 (∀𝑥(𝜑𝜓) → (∃𝑥𝜑 ↔ ∃𝑥𝜓))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 196  wal 1630  wex 1853
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1871  ax-4 1886
This theorem depends on definitions:  df-bi 197  df-ex 1854
This theorem is referenced by:  exbii  1923  nfbiit  1926  19.19  2244  bj-2exbi  32905  bj-3exbi  32906  2exbi  39081  rexbidar  39152  onfrALTlem1VD  39625  csbxpgVD  39629  csbrngVD  39631  csbunigVD  39633  e2ebindVD  39647  e2ebindALT  39664
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