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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 |
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3syld.2 |
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3syld.3 |
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Ref | Expression |
---|---|
3syld |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3syld.1 |
. . 3
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2 | 3syld.2 |
. . 3
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3 | 1, 2 | syld 45 |
. 2
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4 | 3syld.3 |
. 2
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5 | 3, 4 | syld 45 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
This theorem is referenced by: xpfi 6826 fodjumkvlemres 7041 enmkvlem 7043 apreap 8373 msqge0 8402 cju 8743 facavg 10524 mulcn2 11113 coprm 11858 rpexp 11867 cnpnei 12427 ismkvnnlem 13419 |
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