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Mirrors > Home > ILE Home > Th. List > simp1bi | Unicode version |
Description: Deduce a conjunct from a triple conjunction. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) |
Ref | Expression |
---|---|
3simp1bi.1 |
Ref | Expression |
---|---|
simp1bi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simp1bi.1 | . . 3 | |
2 | 1 | biimpi 119 | . 2 |
3 | 2 | simp1d 993 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 w3a 962 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 |
This theorem depends on definitions: df-bi 116 df-3an 964 |
This theorem is referenced by: limord 4317 smores2 6191 smofvon2dm 6193 smofvon 6196 errel 6438 lincmb01cmp 9786 iccf1o 9787 elfznn0 9894 elfzouz 9928 ef01bndlem 11463 sin01bnd 11464 cos01bnd 11465 sin01gt0 11468 cos01gt0 11469 sin02gt0 11470 coseq00topi 12916 coseq0negpitopi 12917 cosq34lt1 12931 |
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