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Theorem nan 563
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 433 . 2
2 imnan 411 . . 3
32imbi2i 303 . 2
41, 3bitr2i 241 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4   wb 176   wa 358
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 177  df-an 360
This theorem is referenced by:  pm4.15  564
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