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Theorem 19.8w 1881
Description: Weak version of 19.8a 2039 and instance of 19.2d 1880. (Contributed by NM, 1-Aug-2017.) (Proof shortened by Wolf Lammen, 4-Dec-2017.) (Revised by BJ, 31-Mar-2021.)
Hypothesis
Ref Expression
19.8w.1 (𝜑 → ∀𝑥𝜑)
Assertion
Ref Expression
19.8w (𝜑 → ∃𝑥𝜑)

Proof of Theorem 19.8w
StepHypRef Expression
1 19.8w.1 . 2 (𝜑 → ∀𝑥𝜑)
2119.2d 1880 1 (𝜑 → ∃𝑥𝜑)
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  ax-6 1875
This theorem depends on definitions:  df-bi 196  df-ex 1696
This theorem is referenced by:  19.8v  1882
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