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Theorem necon3bii 2548

Description: Inference from equality to inequality. (Contributed by NM, 23-Feb-2005.)

**Hypothesis**
Ref	Expression
necon3bii.1

**Assertion**
Ref	Expression
necon3bii

**Proof of Theorem necon3bii**
Step	Hyp	Ref	Expression
1		necon3bii.1	. . 3
2	1	necon3abii 2546	. 2
3		df-ne 2518	. 2
4	2, 3	bitr4i 243	1

Colors of variables: wff setvar class

Syntax hints:

wn 3

wb 176

wceq 1642

wne 2516

This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8

This theorem depends on definitions: df-bi 177 df-ne 2518

This theorem is referenced by: necom 2597 nulnnn 4556 rnsnn0 5065 ce2 6192 nchoicelem14 6302