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Mirrors > Home > ILE Home > Th. List > spsbbi | Unicode version |
Description: Specialization of biconditional. (Contributed by NM, 5-Aug-1993.) (Proof rewritten by Jim Kingdon, 21-Jan-2018.) |
Ref | Expression |
---|---|
spsbbi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | spsbim 1815 | . . 3 | |
2 | spsbim 1815 | . . 3 | |
3 | 1, 2 | anim12i 336 | . 2 |
4 | albiim 1463 | . 2 | |
5 | dfbi2 385 | . 2 | |
6 | 3, 4, 5 | 3imtr4i 200 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wal 1329 wsb 1735 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-sb 1736 |
This theorem is referenced by: sbbidh 1817 sbbid 1818 relelfvdm 5446 |
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