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Mirrors > Home > ILE Home > Th. List > syld3an1 | Unicode version |
Description: A syllogism inference. (Contributed by NM, 7-Jul-2008.) |
Ref | Expression |
---|---|
syld3an1.1 | |
syld3an1.2 |
Ref | Expression |
---|---|
syld3an1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syld3an1.1 | . . . 4 | |
2 | 1 | 3com13 1190 | . . 3 |
3 | syld3an1.2 | . . . 4 | |
4 | 3 | 3com13 1190 | . . 3 |
5 | 2, 4 | syld3an3 1265 | . 2 |
6 | 5 | 3com13 1190 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 w3a 963 |
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 965 |
This theorem is referenced by: tfrcllembacc 6302 npncan 8096 nnpcan 8098 ppncan 8117 muldivdirap 8580 div2negap 8608 ltmuldiv 8745 mulqmod0 10229 |
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