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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 |
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Ref | Expression |
---|---|
simp3bi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simp1bi.1 |
. . 3
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2 | 1 | biimpi 118 |
. 2
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3 | 2 | simp3d 957 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 df-3an 926 |
This theorem is referenced by: limuni 4223 smores2 6059 ersym 6302 ertr 6305 fiintim 6637 eluzle 9029 ef01bndlem 11043 sin01bnd 11044 cos01bnd 11045 sin01gt0 11048 |
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