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Mirrors > Home > MPE Home > Th. List > syl3an9b | Structured version Visualization version Unicode version |
Description: Nested syllogism inference conjoining 3 dissimilar antecedents. (Contributed by NM, 1-May-1995.) |
Ref | Expression |
---|---|
syl3an9b.1 | |
syl3an9b.2 | |
syl3an9b.3 |
Ref | Expression |
---|---|
syl3an9b |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl3an9b.1 | . . . 4 | |
2 | syl3an9b.2 | . . . 4 | |
3 | 1, 2 | sylan9bb 736 | . . 3 |
4 | syl3an9b.3 | . . 3 | |
5 | 3, 4 | sylan9bb 736 | . 2 |
6 | 5 | 3impa 1259 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 w3a 1037 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 197 df-an 386 df-3an 1039 |
This theorem is referenced by: eloprabg 6748 dihjatcclem4 36710 |
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