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Mirrors > Home > ILE Home > Th. List > simp3bi | Unicode version |
Description: Deduce a conjunct from a triple conjunction. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) |
Ref | Expression |
---|---|
3simp1bi.1 |
Ref | Expression |
---|---|
simp3bi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simp1bi.1 | . . 3 | |
2 | 1 | biimpi 119 | . 2 |
3 | 2 | simp3d 1006 | 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: limuni 4381 smores2 6273 ersym 6525 ertr 6528 fvixp 6681 fiintim 6906 eluzle 9499 ef01bndlem 11719 sin01bnd 11720 cos01bnd 11721 sin01gt0 11724 gznegcl 12327 gzcjcl 12328 gzaddcl 12329 gzmulcl 12330 gzabssqcl 12333 4sqlem4a 12343 ennnfonelemim 12379 reeff1oleme 13487 cosq14gt0 13547 cosq23lt0 13548 coseq0q4123 13549 coseq00topi 13550 coseq0negpitopi 13551 cosq34lt1 13565 cos02pilt1 13566 ioocosf1o 13569 2sqlem2 13745 2sqlem3 13747 |
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