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Theorem nic-iimp2 1608
Description: Inference version of nic-imp 1600 using left-handed term. (Contributed by Jeff Hoffman, 17-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
nic-iimp2.1  |-  ( (
ph  -/\  ps )  -/\  ( ch  -/\  ch )
)
nic-iimp2.2  |-  ( th 
-/\  ph )
Assertion
Ref Expression
nic-iimp2  |-  ( th 
-/\  ( ch  -/\  ch ) )

Proof of Theorem nic-iimp2
StepHypRef Expression
1 nic-iimp2.1 . . 3  |-  ( (
ph  -/\  ps )  -/\  ( ch  -/\  ch )
)
21nic-isw1 1605 . 2  |-  ( ( ch  -/\  ch )  -/\  ( ph  -/\  ps )
)
3 nic-iimp2.2 . 2  |-  ( th 
-/\  ph )
42, 3nic-iimp1 1607 1  |-  ( th 
-/\  ( ch  -/\  ch ) )
Colors of variables: wff setvar class
Syntax hints:    -/\ wnan 1447
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 197  df-an 386  df-nan 1448
This theorem is referenced by:  nic-luk3  1618
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