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Mirrors > Home > ILE Home > Th. List > syl6d | Unicode version |
Description: A nested syllogism deduction. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Josh Purinton, 29-Dec-2000.) (Proof shortened by O'Cat, 2-Feb-2006.) (Revised by NM, 3-Feb-2006.) |
Ref | Expression |
---|---|
syl6d.1 | |
syl6d.2 |
Ref | Expression |
---|---|
syl6d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl6d.1 | . 2 | |
2 | syl6d.2 | . . 3 | |
3 | 2 | a1d 22 | . 2 |
4 | 1, 3 | syldd 61 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 |
This theorem is referenced by: syl8 65 |
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