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Mirrors > Home > ILE Home > Th. List > 3anbi2d | Unicode version |
Description: Deduction adding conjuncts to an equivalence. (Contributed by NM, 8-Sep-2006.) |
Ref | Expression |
---|---|
3anbi1d.1 |
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Ref | Expression |
---|---|
3anbi2d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biidd 172 |
. 2
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2 | 3anbi1d.1 |
. 2
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3 | 1, 2 | 3anbi12d 1313 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 |
This theorem depends on definitions: df-bi 117 df-3an 980 |
This theorem is referenced by: vtocl3gaf 2808 ordsoexmid 4563 ereq2 6545 genpelxp 7512 seq3f1olemp 10504 qexpclz 10543 mhmlem 12983 lmodlema 13387 |
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