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Theorem 19.8v 2062
Description: Version of 19.8a 2200 with a dv condition, requiring fewer axioms. Converse of ax5e 1991. (Contributed by BJ, 12-Mar-2020.)
Assertion
Ref Expression
19.8v (𝜑 → ∃𝑥𝜑)
Distinct variable group:   𝜑,𝑥

Proof of Theorem 19.8v
StepHypRef Expression
1 ax-5 1989 . 2 (𝜑 → ∀𝑥𝜑)
2119.8w 2061 1 (𝜑 → ∃𝑥𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4  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  ax-5 1989  ax-6 2055
This theorem depends on definitions:  df-bi 197  df-ex 1854
This theorem is referenced by:  19.9v  2063
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