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Mirrors > Home > NFE Home > Th. List > 3anbi23d | Unicode version |
Description: Deduction conjoining and adding a conjunct to equivalences. (Contributed by NM, 8-Sep-2006.) |
Ref | Expression |
---|---|
3anbi12d.1 |
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3anbi12d.2 |
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Ref | Expression |
---|---|
3anbi23d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biidd 228 |
. 2
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2 | 3anbi12d.1 |
. 2
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3 | 3anbi12d.2 |
. 2
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4 | 1, 2, 3 | 3anbi123d 1252 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 df-an 360 df-3an 936 |
This theorem is referenced by: sfineq2 4528 spaccl 6287 spacind 6288 nchoicelem3 6292 |
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