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Theorem 19.23bi 2190
Description: Inference form of Theorem 19.23 of [Margaris] p. 90, see 19.23 2211. (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 2180 . 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 1780
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1796  ax-4 1810  ax-5 1911  ax-6 1970  ax-7 2015  ax-12 2177
This theorem depends on definitions:  df-bi 209  df-ex 1781
This theorem is referenced by:  nf5ri  2195  equs5eALT  2385  equs5e  2481  2mo  2732  copsexg  5358  axreg2  9035  hash1to3  13834  ustuqtop4  22829  f1omptsnlem  34634  mptsnunlem  34636
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