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Theorem nic-ich 1251

Description: Chained inference. (Contributed by Jeff Hoffman, 17-Nov-2007.)

**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 1246	. 2 $-/\$ $-/\$
3		nic-ich.1	. . 3 $-/\$ $-/\$
4	3	nic-imp 1241	. 2 $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$
5	2, 4	nic-mp 1237	1 $-/\$ $-/\$

Colors of variables: wff set class

Syntax hints: $-/\$ wnand 1229

This theorem is referenced by: nic-idbl 1252 nic-luk1 1257

This theorem was proved from axioms: ax-1 4 ax-2 5 ax-3 6 ax-mp 7

This theorem depends on definitions: df-bi 164 df-an 242 df-nand 1230