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Theorem nic-isw2 1606

Description: Inference for swapping nested terms. (Contributed by Jeff Hoffman, 17-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.)

**Hypothesis**
Ref	Expression
nic-isw2.1	$-/\$ $-/\$

**Assertion**
Ref	Expression
nic-isw2	$-/\$ $-/\$

**Proof of Theorem nic-isw2**
Step	Hyp	Ref	Expression
1		nic-isw2.1	. . 3 $-/\$ $-/\$
2		nic-swap 1604	. . . 4 $-/\$ $-/\$ $-/\$ $-/\$ $-/\$
3	2	nic-imp 1600	. . 3 $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$ $-/\$
4	1, 3	nic-mp 1596	. 2 $-/\$ $-/\$
5	4	nic-isw1 1605	1 $-/\$ $-/\$

Colors of variables: wff setvar class

Syntax hints: $-/\$ 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-an 386 df-nan 1448

This theorem is referenced by: nic-bi1 1613 nic-bi2 1614 nic-luk1 1616 nic-luk2 1617

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