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Mirrors > Home > MPE Home > Th. List > syl5d | Unicode version |
Description: A nested syllogism deduction. (Contributed by NM, 14-May-1993.) (Proof shortened by Josh Purinton, 29-Dec-2000.) (Proof shortened by Mel L. O'Cat, 2-Feb-2006.) |
Ref | Expression |
---|---|
syl5d.1 | |
syl5d.2 |
Ref | Expression |
---|---|
syl5d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl5d.1 | . . 3 | |
2 | 1 | a1d 25 | . 2 |
3 | syl5d.2 | . 2 | |
4 | 2, 3 | syldd 66 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -> wi 4 |
This theorem is referenced by: syl7 68 syl9 71 imim12d 74 sbi1 2133 mopick 2356 isofrlem 6236 kmlem9 8559 squeeze0 10473 fgss2 20375 ordcmp 29912 linepsubN 35476 pmapsub 35492 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
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