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Theorem nic-isw1 1605
Description: Inference version of nic-swap 1604. (Contributed by Jeff Hoffman, 17-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
nic-isw1.1  |-  ( th 
-/\  ph )
Assertion
Ref Expression
nic-isw1  |-  ( ph  -/\ 
th )

Proof of Theorem nic-isw1
StepHypRef Expression
1 nic-isw1.1 . 2  |-  ( th 
-/\  ph )
2 nic-swap 1604 . 2  |-  ( ( th  -/\  ph )  -/\  ( ( ph  -/\  th )  -/\  ( ph  -/\  th )
) )
31, 2nic-mp 1596 1  |-  ( ph  -/\ 
th )
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-isw2  1606  nic-iimp1  1607  nic-iimp2  1608  nic-idel  1609  nic-ich  1610  nic-luk2  1617
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