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Theorem 19.23bi 2099
Description: Inference form of Theorem 19.23 of [Margaris] p. 90, see 19.23 2118. (Contributed by NM, 12-Mar-1993.)
Hypothesis
Ref Expression
19.23bi.1 (∃𝑥𝜑𝜓)
Assertion
Ref Expression
19.23bi (𝜑𝜓)

Proof of Theorem 19.23bi
StepHypRef Expression
1 19.8a 2090 . 2 (𝜑 → ∃𝑥𝜑)
2 19.23bi.1 . 2 (∃𝑥𝜑𝜓)
31, 2syl 17 1 (𝜑𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wex 1744
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1762  ax-4 1777  ax-5 1879  ax-6 1945  ax-7 1981  ax-12 2087
This theorem depends on definitions:  df-bi 197  df-ex 1745
This theorem is referenced by:  equs5eALT  2214  equs5e  2377  mo2v  2505  2mo  2580  copsexg  4985  axreg2  8539  hash1to3  13311  ustuqtop4  22095  f1omptsnlem  33313  mptsnunlem  33315
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