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Theorem bj-nexrt 32514
Description: Closed form of nexr 1811. Contrapositive of 19.8a 1797. (Contributed by BJ, 20-Oct-2019.)
Assertion
Ref Expression
bj-nexrt  |-  ( -. 
E. x ph  ->  -. 
ph )

Proof of Theorem bj-nexrt
StepHypRef Expression
1 19.8a 1797 . 2  |-  ( ph  ->  E. x ph )
21con3i 135 1  |-  ( -. 
E. x ph  ->  -. 
ph )
Colors of variables: wff setvar class
Syntax hints:   -. wn 3    -> wi 4   E.wex 1587
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1592  ax-4 1603  ax-5 1671  ax-6 1710  ax-7 1730  ax-12 1794
This theorem depends on definitions:  df-bi 185  df-ex 1588
This theorem is referenced by: (None)
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