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Mirrors > Home > ILE Home > Th. List > 3anbi3d | Unicode version |
Description: Deduction adding conjuncts to an equivalence. (Contributed by NM, 8-Sep-2006.) |
Ref | Expression |
---|---|
3anbi1d.1 |
Ref | Expression |
---|---|
3anbi3d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biidd 171 | . 2 | |
2 | 3anbi1d.1 | . 2 | |
3 | 1, 2 | 3anbi13d 1303 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 w3a 967 |
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 969 |
This theorem is referenced by: ceqsex3v 2763 ceqsex4v 2764 ceqsex8v 2766 vtocl3gaf 2790 mob 2903 ordsoexmid 4533 tfr1onlemaccex 6307 tfrcllemaccex 6320 fseq1m1p1 10020 summodc 11310 fsum3 11314 divalglemnn 11840 divalglemeunn 11843 divalglemex 11844 divalglemeuneg 11845 |
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