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Mirrors > Home > ILE Home > Th. List > 3anbi1d | Unicode version |
Description: Deduction adding conjuncts to an equivalence. (Contributed by NM, 8-Sep-2006.) |
Ref | Expression |
---|---|
3anbi1d.1 |
Ref | Expression |
---|---|
3anbi1d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3anbi1d.1 | . 2 | |
2 | biidd 170 | . 2 | |
3 | 1, 2 | 3anbi12d 1244 | 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 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 df-3an 921 |
This theorem is referenced by: vtocl3gaf 2667 ordsoexmid 4305 genpelxp 6701 |
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