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Theorem neleq12d 2701
 Description: Equality theorem for negated membership. (Contributed by FL, 10-Aug-2016.)
Hypotheses
Ref Expression
neleq12d.1
neleq12d.2
Assertion
Ref Expression
neleq12d

Proof of Theorem neleq12d
StepHypRef Expression
1 neleq12d.1 . . 3
2 neleq1 2699 . . 3
31, 2syl 16 . 2
4 neleq12d.2 . . 3
5 neleq2 2700 . . 3
64, 5syl 16 . 2
73, 6bitrd 245 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 177   wceq 1652   wnel 2600 This theorem is referenced by:  usgrares1  21424  nbgranself  21446  nbgrassovt  21447  frgrancvvdeqlem2  28420 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-11 1761  ax-ext 2417 This theorem depends on definitions:  df-bi 178  df-an 361  df-ex 1551  df-cleq 2429  df-clel 2432  df-nel 2602
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