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Theorem notatnand 37931
Description: Do not use. Use intnanr instead. Given not a, there exists a proof for not (a and b). (Contributed by Jarvin Udandy, 31-Aug-2016.)
Hypothesis
Ref Expression
notatnand.1  |-  -.  ph
Assertion
Ref Expression
notatnand  |-  -.  ( ph  /\  ps )

Proof of Theorem notatnand
StepHypRef Expression
1 notatnand.1 . 2  |-  -.  ph
21intnanr 923 1  |-  -.  ( ph  /\  ps )
Colors of variables: wff setvar class
Syntax hints:   -. wn 3    /\ wa 370
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 188  df-an 372
This theorem is referenced by:  dandysum2p2e4  38034
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