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Mirrors > Home > ILE Home > Th. List > syl3an1b | Unicode version |
Description: A syllogism inference. (Contributed by NM, 22-Aug-1995.) |
Ref | Expression |
---|---|
syl3an1b.1 | |
syl3an1b.2 |
Ref | Expression |
---|---|
syl3an1b |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl3an1b.1 | . . 3 | |
2 | 1 | biimpi 119 | . 2 |
3 | syl3an1b.2 | . 2 | |
4 | 2, 3 | syl3an1 1266 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 w3a 973 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 df-3an 975 |
This theorem is referenced by: ovmpoelrn 6183 irrmul 9593 xrlttr 9739 |
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