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Theorem bj-nexrt 34033
Description: Closed form of nexr 2192. Contrapositive of 19.8a 2181. (Contributed by BJ, 20-Oct-2019.)
Assertion
Ref Expression
bj-nexrt (¬ ∃𝑥𝜑 → ¬ 𝜑)

Proof of Theorem bj-nexrt
StepHypRef Expression
1 19.8a 2181 . 2 (𝜑 → ∃𝑥𝜑)
21con3i 157 1 (¬ ∃𝑥𝜑 → ¬ 𝜑)
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4  wex 1781
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797  ax-4 1811  ax-5 1912  ax-6 1971  ax-7 2016  ax-12 2178
This theorem depends on definitions:  df-bi 210  df-ex 1782
This theorem is referenced by: (None)
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