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Mirrors > Home > ILE Home > Th. List > bimsc1 | Unicode version |
Description: Removal of conjunct from one side of an equivalence. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
bimsc1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpr 110 |
. . . 4
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2 | ancr 321 |
. . . 4
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3 | 1, 2 | impbid2 143 |
. . 3
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4 | 3 | bibi2d 232 |
. 2
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5 | 4 | biimpa 296 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: bm1.3ii 4123 bdbm1.3ii 14503 |
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