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Mirrors > Home > ILE Home > Th. List > syl6an | Unicode version |
Description: A syllogism deduction combined with conjoining antecedents. (Contributed by Alan Sare, 28-Oct-2011.) |
Ref | Expression |
---|---|
syl6an.1 |
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syl6an.2 |
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syl6an.3 |
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Ref | Expression |
---|---|
syl6an |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl6an.2 |
. . 3
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2 | syl6an.1 |
. . 3
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3 | 1, 2 | jctild 309 |
. 2
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4 | syl6an.3 |
. 2
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5 | 3, 4 | syl6 33 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia3 106 |
This theorem is referenced by: mapxpen 6554 prarloclem5 7049 ltsopr 7145 nominpos 8643 ublbneg 9088 absle 10510 rexanre 10641 rexico 10642 climshftlemg 10677 serf0 10728 dvds1lem 11072 dvds2lem 11073 bj-indind 11710 |
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