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Theorem nic-luk2 1525
Description: Proof of luk-2 1489 from nic-ax 1506 and nic-mp 1504. (Contributed by Jeff Hoffman, 18-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
nic-luk2

Proof of Theorem nic-luk2
StepHypRef Expression
1 nic-dfim 1502 . . . . 5
21nic-bi2 1522 . . . 4
3 nic-dfneg 1503 . . . . . 6
4 nic-id 1511 . . . . . 6
53, 4nic-iimp1 1515 . . . . 5
65nic-isw2 1514 . . . 4
72, 6nic-iimp1 1515 . . 3
87nic-isw1 1513 . 2
9 nic-dfim 1502 . . 3
109nic-bi1 1521 . 2
118, 10nic-mp 1504 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  -/\wnan 1343
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 185  df-or 370  df-an 371  df-nan 1344
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