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Mirrors > Home > ILE Home > Th. List > simp2bi | Unicode version |
Description: Deduce a conjunct from a triple conjunction. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) |
Ref | Expression |
---|---|
3simp1bi.1 |
Ref | Expression |
---|---|
simp2bi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simp1bi.1 | . . 3 | |
2 | 1 | biimpi 118 | . 2 |
3 | 2 | simp2d 951 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 103 w3a 919 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 |
This theorem depends on definitions: df-bi 115 df-3an 921 |
This theorem is referenced by: 0ellim 4153 smodm 5929 erdm 6139 dif1en 6364 eluzelz 8628 elfz3nn0 9131 |
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