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Mirrors > Home > ILE Home > Th. List > sylan2d | Unicode version |
Description: A syllogism deduction. (Contributed by NM, 15-Dec-2004.) |
Ref | Expression |
---|---|
sylan2d.1 | |
sylan2d.2 |
Ref | Expression |
---|---|
sylan2d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylan2d.1 | . . 3 | |
2 | sylan2d.2 | . . . 4 | |
3 | 2 | ancomsd 256 | . . 3 |
4 | 1, 3 | syland 277 | . 2 |
5 | 4 | ancomsd 256 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: syl2and 279 sylan2i 387 swopo 4043 prarloclemlo 6592 prodgt02 7819 prodge02 7821 |
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