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Theorem nic-bi1 1453

Description: Inference to extract one side of an implication from a definition. (Contributed by Jeff Hoffman, 18-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.)

**Hypothesis**
Ref	Expression
nic-bi1.1	$-/\$ $-/\$ $-/\$ $-/\$ $-/\$

**Assertion**
Ref	Expression
nic-bi1	$-/\$ $-/\$

**Proof of Theorem nic-bi1**
Step	Hyp	Ref	Expression
1		nic-bi1.1	. . . 4 $-/\$ $-/\$ $-/\$ $-/\$ $-/\$
2		nic-id 1443	. . . 4 $-/\$ $-/\$
3	1, 2	nic-iimp1 1447	. . 3 $-/\$ $-/\$
4	3	nic-isw2 1446	. 2 $-/\$ $-/\$
5	4	nic-idel 1449	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-luk1 1456 nic-luk2 1457 nic-luk3 1458

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