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Theorem nexr 1655
Description: Inference from 19.8a 1554. (Contributed by Jeff Hankins, 26-Jul-2009.)
Hypothesis
Ref Expression
nexr.1 ¬ ∃𝑥𝜑
Assertion
Ref Expression
nexr ¬ 𝜑

Proof of Theorem nexr
StepHypRef Expression
1 nexr.1 . 2 ¬ ∃𝑥𝜑
2 19.8a 1554 . 2 (𝜑 → ∃𝑥𝜑)
31, 2mto 636 1 ¬ 𝜑
Colors of variables: wff set class
Syntax hints:  ¬ wn 3  wex 1453
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-in1 588  ax-in2 589  ax-gen 1410  ax-ie1 1454  ax-ie2 1455  ax-4 1472
This theorem depends on definitions:  df-bi 116
This theorem is referenced by: (None)
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