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

Step	Hyp	Ref	Expression
1		ax6e 2002	. 2
2		dtrucor2.1	. . . . 5
3	2	necon2bi 2694	. . . 4
4		pm2.01 168	. . . 4
5	3, 4	ax-mp 5	. . 3
6	5	nex 1627	. 2
7	1, 6	pm2.24ii 132	1

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