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Mirrors > Home > QLE Home > Th. List > lbi | Unicode version |
Description: Introduce biconditional to the left. |
Ref | Expression |
---|---|
lbi.1 |
Ref | Expression |
---|---|
lbi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | lbi.1 | . . . 4 | |
2 | 1 | lan 77 | . . 3 |
3 | 1 | ax-r4 37 | . . . 4 |
4 | 3 | lan 77 | . . 3 |
5 | 2, 4 | 2or 72 | . 2 |
6 | dfb 94 | . 2 | |
7 | dfb 94 | . 2 | |
8 | 5, 6, 7 | 3tr1 63 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wn 4 tb 5 wo 6 wa 7 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 |
This theorem depends on definitions: df-b 39 df-a 40 |
This theorem is referenced by: rbi 98 2bi 99 wcon3 209 wwoml2 212 nom55 336 |
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