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Mirrors > Home > MPE Home > Th. List > dtrucor2 | Unicode version |
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.) |
Ref | Expression |
---|---|
dtrucor2.1 |
Ref | Expression |
---|---|
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 |
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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