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Mirrors > Home > ILE Home > Th. List > syl3anl | Unicode version |
Description: A triple syllogism inference. (Contributed by NM, 24-Dec-2006.) |
Ref | Expression |
---|---|
syl3anl.1 | |
syl3anl.2 | |
syl3anl.3 | |
syl3anl.4 |
Ref | Expression |
---|---|
syl3anl |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl3anl.1 | . . 3 | |
2 | syl3anl.2 | . . 3 | |
3 | syl3anl.3 | . . 3 | |
4 | 1, 2, 3 | 3anim123i 1123 | . 2 |
5 | syl3anl.4 | . 2 | |
6 | 4, 5 | sylan 277 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 w3a 919 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 df-3an 921 |
This theorem is referenced by: (None) |
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