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Theorem naim12i 24899
Description: Constructor rule for  -/\. (Contributed by Anthony Hart, 2-Sep-2011.)
Hypotheses
Ref Expression
naim12i.1  |-  ( ph  ->  ps )
naim12i.2  |-  ( ch 
->  th )
naim12i.3  |-  ( ps 
-/\  th )
Assertion
Ref Expression
naim12i  |-  ( ph  -/\ 
ch )

Proof of Theorem naim12i
StepHypRef Expression
1 naim12i.2 . 2  |-  ( ch 
->  th )
2 naim12i.1 . . 3  |-  ( ph  ->  ps )
3 naim12i.3 . . 3  |-  ( ps 
-/\  th )
42, 3naim1i 24897 . 2  |-  ( ph  -/\ 
th )
51, 4naim2i 24898 1  |-  ( ph  -/\ 
ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    -/\ wnan 1287
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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