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Mirrors > Home > ILE Home > Th. List > mp3an12i | Unicode version |
Description: mp3an 1315 with antecedents in standard conjunction form and with one hypothesis an implication. (Contributed by Alan Sare, 28-Aug-2016.) |
Ref | Expression |
---|---|
mp3an12i.1 | |
mp3an12i.2 | |
mp3an12i.3 | |
mp3an12i.4 |
Ref | Expression |
---|---|
mp3an12i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mp3an12i.3 | . 2 | |
2 | mp3an12i.1 | . . 3 | |
3 | mp3an12i.2 | . . 3 | |
4 | mp3an12i.4 | . . 3 | |
5 | 2, 3, 4 | mp3an12 1305 | . 2 |
6 | 1, 5 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 w3a 962 |
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 964 |
This theorem is referenced by: map1 6699 suplocsrlempr 7608 geo2lim 11278 oddp1d2 11576 bezoutlema 11676 bezoutlemb 11677 exmidunben 11928 ismet 12502 isxmet 12503 coseq0negpitopi 12906 cosq34lt1 12920 cos02pilt1 12921 |
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