nic-iimp1 - Metamath Proof Explorer

	Metamath Proof Explorer		< Previous Next > Nearby theorems
Mirrors > Home > MPE Home > Th. List > nic-iimp1		Structured version Visualization version Unicode version

Theorem nic-iimp1 1607

Description: Inference version of nic-imp 1600 using right-handed term. (Contributed by Jeff Hoffman, 17-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.)

**Hypotheses**
Ref	Expression
nic-iimp1.1	$-/\$ $-/\$
nic-iimp1.2	$-/\$

**Assertion**
Ref	Expression
nic-iimp1	$-/\$

**Proof of Theorem nic-iimp1**
Step	Hyp	Ref	Expression
1		nic-iimp1.2	. . 3 $-/\$
2		nic-iimp1.1	. . . 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-iimp2 1608 nic-bi1 1613 nic-bi2 1614 nic-luk2 1617 nic-luk3 1618

W3C validator