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Theorem stabnot 833
Description: Every negated formula is stable. (Contributed by David A. Wheeler, 13-Aug-2018.)
Assertion
Ref Expression
stabnot  |- STAB  -.  ph

Proof of Theorem stabnot
StepHypRef Expression
1 notnotnot 634 . . 3  |-  ( -. 
-.  -.  ph  <->  -.  ph )
21biimpi 120 . 2  |-  ( -. 
-.  -.  ph  ->  -.  ph )
3 df-stab 831 . 2  |-  (STAB  -.  ph  <->  ( -.  -.  -.  ph  ->  -.  ph ) )
42, 3mpbir 146 1  |- STAB  -.  ph
Colors of variables: wff set class
Syntax hints:   -. wn 3    -> wi 4  STAB wstab 830
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-in1 614  ax-in2 615
This theorem depends on definitions:  df-bi 117  df-stab 831
This theorem is referenced by:  dcnn  848  cnstab  8605
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