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Mirrors > Home > ILE Home > Th. List > sbnv | Unicode version |
Description: Version of sbn 1939 where and are distinct. (Contributed by Jim Kingdon, 18-Dec-2017.) |
Ref | Expression |
---|---|
sbnv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb6 1873 | . . 3 | |
2 | alinexa 1590 | . . 3 | |
3 | 1, 2 | bitri 183 | . 2 |
4 | sb5 1874 | . 2 | |
5 | 3, 4 | xchbinxr 673 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 103 wb 104 wal 1340 wex 1479 wsb 1749 |
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-in1 604 ax-in2 605 ax-5 1434 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-11 1493 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 |
This theorem depends on definitions: df-bi 116 df-tru 1345 df-fal 1348 df-sb 1750 |
This theorem is referenced by: sbn 1939 |
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