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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 | |
syl6an.2 | |
syl6an.3 |
Ref | Expression |
---|---|
syl6an |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl6an.2 | . . 3 | |
2 | syl6an.1 | . . 3 | |
3 | 1, 2 | jctild 309 | . 2 |
4 | syl6an.3 | . 2 | |
5 | 3, 4 | syl6 33 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia3 106 |
This theorem is referenced by: rdgon 5996 prarloclem5 6690 ltsopr 6786 nominpos 8268 ublbneg 8698 absle 9975 rexanre 10106 rexico 10107 climshftlemg 10141 serif0 10189 dvds1lem 10206 dvds2lem 10207 bj-indind 10727 |
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