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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 |
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Ref | Expression |
---|---|
imbi1d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imbid.1 |
. . . 4
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2 | 1 | biimprd 158 |
. . 3
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3 | 2 | imim1d 75 |
. 2
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4 | 1 | biimpd 144 |
. . 3
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5 | 4 | imim1d 75 |
. 2
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6 | 3, 5 | impbid 129 |
1
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