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Mirrors > Home > NFE Home > Th. List > pm2.18d | Unicode version |
Description: Deduction based on reductio ad absurdum. (Contributed by FL, 12-Jul-2009.) (Proof shortened by Andrew Salmon, 7-May-2011.) |
Ref | Expression |
---|---|
pm2.18d.1 |
Ref | Expression |
---|---|
pm2.18d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.18d.1 | . 2 | |
2 | pm2.18 102 | . 2 | |
3 | 1, 2 | syl 15 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem is referenced by: notnot2 104 pm2.61d 150 pm2.18da 430 oplem1 930 ax10lem4 1941 phi11lem1 4595 0cnelphi 4597 |
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