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Mirrors > Home > NFE Home > Th. List > orbi1d | Unicode version |
Description: Deduction adding a right disjunct to both sides of a logical equivalence. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
bid.1 |
Ref | Expression |
---|---|
orbi1d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bid.1 | . . 3 | |
2 | 1 | orbi2d 682 | . 2 |
3 | orcom 376 | . 2 | |
4 | orcom 376 | . 2 | |
5 | 2, 3, 4 | 3bitr4g 279 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wo 357 |
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-or 359 |
This theorem is referenced by: orbi1 686 orbi12d 690 eueq2 3010 uneq1 3411 r19.45zv 3647 rexprg 3776 rextpg 3778 lefinlteq 4463 |
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