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Theorem neeq12i 2528
Description: Inference for inequality. (Contributed by NM, 24-Jul-2012.)
Hypotheses
Ref Expression
neeq1i.1
neeq12i.2
Assertion
Ref Expression
neeq12i

Proof of Theorem neeq12i
StepHypRef Expression
1 neeq12i.2 . . 3
21neeq2i 2527 . 2
3 neeq1i.1 . . 3
43neeq1i 2526 . 2
52, 4bitri 240 1
Colors of variables: wff setvar class
Syntax hints:   wb 176   wceq 1642   wne 2516
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-11 1746  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-ex 1542  df-cleq 2346  df-ne 2518
This theorem is referenced by:  3netr3g  2544  3netr4g  2545
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