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Mirrors > Home > ILE Home > Th. List > pm2.65i | Unicode version |
Description: Inference for proof by contradiction. (Contributed by NM, 18-May-1994.) (Proof shortened by Wolf Lammen, 11-Sep-2013.) |
Ref | Expression |
---|---|
pm2.65i.1 | |
pm2.65i.2 |
Ref | Expression |
---|---|
pm2.65i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.65i.2 | . . 3 | |
2 | pm2.65i.1 | . . 3 | |
3 | 1, 2 | nsyl3 600 | . 2 |
4 | pm2.01 590 | . 2 | |
5 | 3, 4 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-in1 588 ax-in2 589 |
This theorem is referenced by: mt2 614 mto 636 pm5.19 680 noel 3337 0nelop 4140 elirr 4426 en2lp 4439 soirri 4903 0neqopab 5784 fzp1disj 9828 fzonel 9905 fzouzdisj 9925 |
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