neeq2i - Metamath Proof Explorer

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Theorem neeq2i 2744

Description: Inference for inequality. (Contributed by NM, 29-Apr-2005.) (Proof shortened by Wolf Lammen, 19-Nov-2019.)

**Hypothesis**
Ref	Expression
neeq1i.1

**Assertion**
Ref	Expression
neeq2i

**Proof of Theorem neeq2i**
Step	Hyp	Ref	Expression
1		neeq1i.1	. . 3
2	1	eqeq2i 2475	. 2
3	2	necon3bii 2725	1

Colors of variables: wff setvar class

Syntax hints: <->wb 184 =wceq 1395 =/=wne 2652

This theorem is referenced by: neeq12iOLD 2747 neeqtri 2755 suppvalbr 6922 disjdsct 27521 divnumden2 27609 nosgnn0 29418

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1618 ax-4 1631 ax-ext 2435

This theorem depends on definitions: df-bi 185 df-cleq 2449 df-ne 2654