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Theorem exmidne 2522

Description: Excluded middle with equality and inequality. (Contributed by NM, 3-Feb-2012.)

**Assertion**
Ref	Expression
exmidne	$\/$

**Proof of Theorem exmidne**
Step	Hyp	Ref	Expression
1		exmid 404	. 2 $\/$
2		df-ne 2518	. . 3
3	2	orbi2i 505	. 2 $\/$ $\/$
4	1, 3	mpbir 200	1 $\/$

Colors of variables: wff setvar class

Syntax hints:

wn 3 $\/$ wo 357

wceq 1642

wne 2516

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-or 359 df-ne 2518

This theorem is referenced by: (None)