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Theorem nic-luk2 1617

Description: Proof of luk-2 1581 from nic-ax 1598 and nic-mp 1596. (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**
Step	Hyp	Ref	Expression
1		nic-dfim 1594	. . . . 5 $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$
2	1	nic-bi2 1614	. . . 4 $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$
3		nic-dfneg 1595	. . . . . 6 $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$
4		nic-id 1603	. . . . . 6 $-/\$ $-/\$ $-/\$ $-/\$ $-/\$
5	3, 4	nic-iimp1 1607	. . . . 5 $-/\$ $-/\$ $-/\$ $-/\$
6	5	nic-isw2 1606	. . . 4 $-/\$ $-/\$ $-/\$ $-/\$
7	2, 6	nic-iimp1 1607	. . 3 $-/\$ $-/\$
8	7	nic-isw1 1605	. 2 $-/\$ $-/\$
9		nic-dfim 1594	. . 3 $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$
10	9	nic-bi1 1613	. 2 $-/\$ $-/\$ $-/\$ $-/\$
11	8, 10	nic-mp 1596	1

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4 $-/\$ 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-or 385 df-an 386 df-nan 1448

This theorem is referenced by: (None)

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