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Mirrors > Home > ILE Home > Th. List > biimp3ar | Unicode version |
Description: Infer implication from a logical equivalence. Similar to biimpar 295. (Contributed by NM, 2-Jan-2009.) |
Ref | Expression |
---|---|
biimp3a.1 |
Ref | Expression |
---|---|
biimp3ar |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biimp3a.1 | . . 3 | |
2 | 1 | exbiri 380 | . 2 |
3 | 2 | 3imp 1182 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 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: rmoi 3039 brelrng 4829 ssfzo12 10149 abssubge0 11030 qredeu 12008 basgen2 12628 logbprmirr 13437 |
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