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Theorem neleq1 2607
Description: Equality theorem for negated membership. (Contributed by NM, 20-Nov-1994.)
Assertion
Ref Expression
neleq1

Proof of Theorem neleq1
StepHypRef Expression
1 eleq1 2413 . . 3
21notbid 285 . 2
3 df-nel 2519 . 2
4 df-nel 2519 . 2
52, 3, 43bitr4g 279 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4   wb 176   wceq 1642   wcel 1710   wnel 2517
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-an 360  df-ex 1542  df-cleq 2346  df-clel 2349  df-nel 2519
This theorem is referenced by:  neleq12d  2609
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