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Theorem nabi2 26140
Description: Constructor theorem for  -/\. (Contributed by Anthony Hart, 1-Sep-2011.)
Assertion
Ref Expression
nabi2  |-  ( (
ph 
<->  ps )  ->  (
( ch  -/\  ph )  <->  ( ch  -/\  ps )
) )

Proof of Theorem nabi2
StepHypRef Expression
1 nanbi2 1305 1  |-  ( (
ph 
<->  ps )  ->  (
( ch  -/\  ph )  <->  ( ch  -/\  ps )
) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    <-> wb 177    -/\ wnan 1296
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 178  df-an 361  df-nan 1297
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