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Theorem nic-ich 1450

Description: Chained inference. (Contributed by Jeff Hoffman, 17-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.)

**Hypotheses**
Ref	Expression
nic-ich.1	$-/\$ $-/\$
nic-ich.2	$-/\$ $-/\$

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

**Proof of Theorem nic-ich**
Step	Hyp	Ref	Expression
1		nic-ich.2	. . 3 $-/\$ $-/\$
2	1	nic-isw1 1445	. 2 $-/\$ $-/\$
3		nic-ich.1	. . 3 $-/\$ $-/\$
4	3	nic-imp 1440	. 2 $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$
5	2, 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-idbl 1451 nic-luk1 1456