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Mirrors > Home > ILE Home > Th. List > 3syld | Unicode version |
Description: Triple syllogism deduction. (Contributed by Jeff Hankins, 4-Aug-2009.) |
Ref | Expression |
---|---|
3syld.1 | |
3syld.2 | |
3syld.3 |
Ref | Expression |
---|---|
3syld |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3syld.1 | . . 3 | |
2 | 3syld.2 | . . 3 | |
3 | 1, 2 | syld 45 | . 2 |
4 | 3syld.3 | . 2 | |
5 | 3, 4 | syld 45 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
This theorem is referenced by: xpfi 6889 fodjumkvlemres 7117 enmkvlem 7119 apreap 8479 msqge0 8508 cju 8850 facavg 10653 mulcn2 11247 coprm 12070 rpexp 12079 cnpnei 12817 ismkvnnlem 13824 |
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