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Mirrors > Home > ILE Home > Th. List > biimp3a | Unicode version |
Description: Infer implication from a logical equivalence. Similar to biimpa 290. (Contributed by NM, 4-Sep-2005.) |
Ref | Expression |
---|---|
biimp3a.1 |
Ref | Expression |
---|---|
biimp3a |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biimp3a.1 | . . 3 | |
2 | 1 | biimpa 290 | . 2 |
3 | 2 | 3impa 1133 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wb 103 w3a 919 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 df-3an 921 |
This theorem is referenced by: nnawordex 6124 nn0addge1 8334 nn0addge2 8335 nn0sub2 8421 eluzp1p1 8644 uznn0sub 8650 iocssre 8976 icossre 8977 iccssre 8978 lincmb01cmp 9025 iccf1o 9026 fzosplitprm1 9243 subfzo0 9251 modfzo0difsn 9397 fldivndvdslt 10335 |
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