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Mirrors > Home > ILE Home > Th. List > nsyl3 | Unicode version |
Description: A negated syllogism inference. (Contributed by NM, 1-Dec-1995.) (Revised by NM, 13-Jun-2013.) |
Ref | Expression |
---|---|
nsyl3.1 | |
nsyl3.2 |
Ref | Expression |
---|---|
nsyl3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nsyl3.2 | . 2 | |
2 | nsyl3.1 | . . 3 | |
3 | 2 | a1i 9 | . 2 |
4 | 1, 3 | mt2d 614 | 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 603 ax-in2 604 |
This theorem is referenced by: con2i 616 nsyl 617 pm2.65i 628 cesare 2101 cesaro 2105 pwnss 4078 sucprcreg 4459 reg3exmidlemwe 4488 reldmtpos 6143 snexxph 6831 elfi2 6853 ismkvnex 7022 fzn 9815 seq3f1olemqsum 10266 |
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