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Theorem 19.8ad 43548
Description: If a wff is true, it is true for at least one instance. Deduction form of 19.8a 2165. (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 2165 . 2 (𝜓 → ∃𝑥𝜓)
31, 2syl 17 1 (𝜑 → ∃𝑥𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wex 1823
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1839  ax-4 1853  ax-5 1953  ax-6 2021  ax-7 2054  ax-12 2162
This theorem depends on definitions:  df-bi 199  df-ex 1824
This theorem is referenced by: (None)
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