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Theorem 19.35i 1795
Description: Inference associated with 19.35 1794. (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 1794 . 2 (∃𝑥(𝜑𝜓) ↔ (∀𝑥𝜑 → ∃𝑥𝜓))
31, 2mpbi 219 1 (∀𝑥𝜑 → ∃𝑥𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1473  wex 1695
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1713  ax-4 1728
This theorem depends on definitions:  df-bi 196  df-ex 1696
This theorem is referenced by:  19.2  1879  spimeh  1912  cbv3hvOLD  2161  cbv3hvOLDOLD  2162  ax6e  2238  spimed  2243  equvini  2334  equvel  2335  euex  2482  axrep4  4703  zfcndrep  9315  bj-ax6elem2  31841  bj-spimedv  31906  bj-axrep4  31979  wl-exeq  32500  spd  42223
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