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Theorem 19.8ad 1591
Description: If a wff is true, it is true for at least one instance. Deduction form of 19.8a 1590. (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 1590 . 2 (𝜓 → ∃𝑥𝜓)
31, 2syl 14 1 (𝜑 → ∃𝑥𝜓)
Colors of variables: wff set class
Syntax hints:  wi 4  wex 1492
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-gen 1449  ax-ie1 1493  ax-ie2 1494  ax-4 1510
This theorem depends on definitions:  df-bi 117
This theorem is referenced by:  suplocexprlemloc  7698  sgrpidmndm  12700
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