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Theorem nic-idlem2 1442

Description: Lemma for nic-id 1443. Inference used by nic-id 1443. (Contributed by Jeff Hoffman, 17-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.)

**Hypothesis**
Ref	Expression
nic-idlem2.1	$-/\$ $-/\$ $-/\$ $-/\$

**Assertion**
Ref	Expression
nic-idlem2	$-/\$ $-/\$ $-/\$ $-/\$

**Proof of Theorem nic-idlem2**
Step	Hyp	Ref	Expression
1		nic-idlem2.1	. 2 $-/\$ $-/\$ $-/\$ $-/\$
2		nic-ax 1438	. . . 4 $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$
3	2	nic-imp 1440	. . 3 $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$
4	3	nic-imp 1440	. 2 $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$
5	1, 4	nic-mp 1436	1 $-/\$ $-/\$ $-/\$ $-/\$

Colors of variables: wff setvar class

Syntax hints: $-/\$ wnan 1287

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 177 df-an 360 df-nan 1288

This theorem is referenced by: nic-id 1443

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