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Theorem naim1i 24897
Description: Constructor rule for  -/\. (Contributed by Anthony Hart, 2-Sep-2011.)
Hypotheses
Ref Expression
naim1i.1  |-  ( ph  ->  ps )
naim1i.2  |-  ( ps 
-/\  ch )
Assertion
Ref Expression
naim1i  |-  ( ph  -/\ 
ch )

Proof of Theorem naim1i
StepHypRef Expression
1 naim1i.1 . 2  |-  ( ph  ->  ps )
2 naim1i.2 . 2  |-  ( ps 
-/\  ch )
3 naim1 24895 . 2  |-  ( (
ph  ->  ps )  -> 
( ( ps  -/\  ch )  ->  ( ph  -/\ 
ch ) ) )
41, 2, 3mp2 17 1  |-  ( ph  -/\ 
ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    -/\ wnan 1287
This theorem is referenced by:  naim12i  24899
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 177  df-or 359  df-an 360  df-nan 1288
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