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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 620 | 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 609 ax-in2 610 |
This theorem is referenced by: con2i 622 nsyl 623 pm2.65i 634 cesare 2123 cesaro 2127 pwnss 4145 sucprcreg 4533 reg3exmidlemwe 4563 reldmtpos 6232 snexxph 6927 elfi2 6949 ismkvnex 7131 fzn 9998 seq3f1olemqsum 10456 pcmpt2 12296 |
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