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Theorem 19.8ad 42325
Description: If a wff is true, it is true for at least one instance. Deductive form of 19.8a 1988. (Contributed by DAW, 13-Feb-2017.)
Hypothesis
Ref Expression
19.8ad.1 (𝜑𝜓)
Assertion
Ref Expression
19.8ad (𝜑 → ∃𝑥𝜓)

Proof of Theorem 19.8ad
StepHypRef Expression
1 19.8ad.1 . 2 (𝜑𝜓)
2 19.8a 1988 . 2 (𝜓 → ∃𝑥𝜓)
31, 2syl 17 1 (𝜑 → ∃𝑥𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wex 1694
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1700  ax-4 1713  ax-5 1793  ax-6 1838  ax-7 1885  ax-12 1983
This theorem depends on definitions:  df-bi 195  df-ex 1695
This theorem is referenced by: (None)
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