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Theorem 19.23bi 2176
Description: Inference form of Theorem 19.23 of [Margaris] p. 90, see 19.23 2196. (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 2166 . 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 1773
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1789  ax-4 1803  ax-5 1905  ax-6 1963  ax-7 2003  ax-12 2163
This theorem depends on definitions:  df-bi 206  df-ex 1774
This theorem is referenced by:  nf5ri  2180  equs5eALT  2358  equs5e  2451  2mo  2638  copsexg  5484  axreg2  9590  hash1to3  14458  ustuqtop4  24104  f1omptsnlem  36724  mptsnunlem  36726
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