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Theorem 19.35i 1881
Description: Inference associated with 19.35 1880. (Contributed by NM, 21-Jun-1993.)
Hypothesis
Ref Expression
19.35i.1 𝑥(𝜑𝜓)
Assertion
Ref Expression
19.35i (∀𝑥𝜑 → ∃𝑥𝜓)

Proof of Theorem 19.35i
StepHypRef Expression
1 19.35i.1 . 2 𝑥(𝜑𝜓)
2 19.35 1880 . 2 (∃𝑥(𝜑𝜓) ↔ (∀𝑥𝜑 → ∃𝑥𝜓))
31, 2mpbi 229 1 (∀𝑥𝜑 → ∃𝑥𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1537  wex 1782
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1798  ax-4 1812
This theorem depends on definitions:  df-bi 206  df-ex 1783
This theorem is referenced by:  19.2  1980  spimedv  2190  ax6e  2383  spimed  2388  equvini  2455  equvel  2456  axrep4  5214  zfcndrep  10370  bj-ax6elem2  34848  wl-exeq  35693  spd  46384
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