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Theorem nic-iimp2 1438
Description: Inference version of nic-imp 1430 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 1435 . 2  |-  ( ( ch  -/\  ch )  -/\  ( ph  -/\  ps )
)
3 nic-iimp2.2 . 2  |-  ( th 
-/\  ph )
42, 3nic-iimp1 1437 1  |-  ( th 
-/\  ( ch  -/\  ch ) )
Colors of variables: wff set class
Syntax hints:    -/\ wnan 1287
This theorem is referenced by:  nic-luk3  1448
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-an 360  df-nan 1288
  Copyright terms: Public domain W3C validator