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Theorem nan 580
Description: Theorem to move a conjunct in and out of a negation. (Contributed by NM, 9-Nov-2003.)
Assertion
Ref Expression
nan

Proof of Theorem nan
StepHypRef Expression
1 impexp 446 . 2
2 imnan 422 . . 3
32imbi2i 312 . 2
41, 3bitr2i 250 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  <->wb 184  /\wa 369
This theorem is referenced by:  pm4.15  581  somincom  5354  wemaplem2  7898  alephval3  8417  hauspwpwf1  19959  icccncfext  30455  stoweidlem34  30563  stirlinglem5  30607  fourierdlem42  30678
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 185  df-an 371
  Copyright terms: Public domain W3C validator