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| Mirrors > Home > ILE Home > Th. List > imbi1d | Unicode version | ||
| Description: Deduction adding a consequent to both sides of a logical equivalence. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 17-Sep-2013.) |
| Ref | Expression |
|---|---|
| imbid.1 |
|
| Ref | Expression |
|---|---|
| imbi1d |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | imbid.1 |
. . . 4
| |
| 2 | 1 | biimprd 158 |
. . 3
|
| 3 | 2 | imim1d 75 |
. 2
|
| 4 | 1 | biimpd 144 |
. . 3
|
| 5 | 4 | imim1d 75 |
. 2
|
| 6 | 3, 5 | impbid 129 |
1
|
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