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Theorem dtrucor2 4686
Description: The theorem form of the deduction dtrucor 4685 leads to a contradiction, as mentioned in the "Wrong!" example at http://us.metamath.org/mpeuni/mmdeduction.html#bad. (Contributed by NM, 20-Oct-2007.)
Hypothesis
Ref Expression
dtrucor2.1
Assertion
Ref Expression
dtrucor2

Proof of Theorem dtrucor2
StepHypRef Expression
1 ax6e 2002 . 2
2 dtrucor2.1 . . . . 5
32necon2bi 2694 . . . 4
4 pm2.01 168 . . . 4
53, 4ax-mp 5 . . 3
65nex 1627 . 2
71, 6pm2.24ii 132 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  /\wa 369  E.wex 1612  =/=wne 2652
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-5 1704  ax-6 1747  ax-7 1790  ax-12 1854  ax-13 1999
This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-ne 2654
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