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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 1724 | . . 3 | |
2 | spsbim 1724 | . . 3 | |
3 | 1, 2 | anim12i 321 | . 2 |
4 | albiim 1376 | . 2 | |
5 | dfbi2 368 | . 2 | |
6 | 3, 4, 5 | 3imtr4i 190 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wb 98 wal 1241 wsb 1645 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-4 1400 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 df-sb 1646 |
This theorem is referenced by: sbbid 1726 relelfvdm 5205 |
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