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Mirrors > Home > ILE Home > Th. List > bi2bian9 | Unicode version |
Description: Deduction joining two biconditionals with different antecedents. (Contributed by NM, 12-May-2004.) |
Ref | Expression |
---|---|
bi2an9.1 | |
bi2an9.2 |
Ref | Expression |
---|---|
bi2bian9 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bi2an9.1 | . . 3 | |
2 | 1 | adantr 261 | . 2 |
3 | bi2an9.2 | . . 3 | |
4 | 3 | adantl 262 | . 2 |
5 | 2, 4 | bibi12d 224 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wb 98 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: (None) |
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