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Theorem 19.35i 1955
Description: Inference associated with 19.35 1954. (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 1954 . 2 (∃𝑥(𝜑𝜓) ↔ (∀𝑥𝜑 → ∃𝑥𝜓))
31, 2mpbi 220 1 (∀𝑥𝜑 → ∃𝑥𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1630  wex 1853
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1871  ax-4 1886
This theorem depends on definitions:  df-bi 197  df-ex 1854
This theorem is referenced by:  19.2  2058  spimeh  2080  ax6e  2395  spimed  2400  equvini  2483  equvel  2484  euex  2631  axrep4  4927  zfcndrep  9648  bj-ax6elem2  32980  bj-spimedv  33047  bj-axrep4  33119  wl-exeq  33652  spd  42953
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