naim2 - Mathbox for Anthony Hart

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Theorem naim2 32385

Description: Constructor theorem for $-/\$ . (Contributed by Anthony Hart, 1-Sep-2011.)

**Assertion**
Ref	Expression
naim2	$-/\$ $-/\$

**Proof of Theorem naim2**
Step	Hyp	Ref	Expression
1		con3 149	. . 3
2	1	orim2d 885	. 2 $\/$ $\/$
3		pm3.13 522	. . . 4 $/\$ $\/$
4		pm3.14 523	. . . 4 $\/$ $/\$
5	3, 4	imim12i 62	. . 3 $\/$ $\/$ $/\$ $/\$
6		df-nan 1448	. . 3 $-/\$ $/\$
7		df-nan 1448	. . 3 $-/\$ $/\$
8	5, 6, 7	3imtr4g 285	. 2 $\/$ $\/$ $-/\$ $-/\$
9	2, 8	syl 17	1 $-/\$ $-/\$

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4 $\/$ wo 383 $/\$ wa 384 $-/\$ 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-or 385 df-an 386 df-nan 1448

This theorem is referenced by: naim2i 32387