Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > 3anbi12d | Unicode version |
Description: Deduction conjoining and adding a conjunct to equivalences. (Contributed by NM, 8-Sep-2006.) |
Ref | Expression |
---|---|
3anbi12d.1 | |
3anbi12d.2 |
Ref | Expression |
---|---|
3anbi12d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3anbi12d.1 | . 2 | |
2 | 3anbi12d.2 | . 2 | |
3 | biidd 171 | . 2 | |
4 | 1, 2, 3 | 3anbi123d 1301 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 w3a 967 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 df-3an 969 |
This theorem is referenced by: 3anbi1d 1305 3anbi2d 1306 fseq1m1p1 10021 |
Copyright terms: Public domain | W3C validator |