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Mirrors > Home > ILE Home > Th. List > sbnv | Unicode version |
Description: Version of sbn 1903 where and are distinct. (Contributed by Jim Kingdon, 18-Dec-2017.) |
Ref | Expression |
---|---|
sbnv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb6 1842 | . . 3 | |
2 | alinexa 1567 | . . 3 | |
3 | 1, 2 | bitri 183 | . 2 |
4 | sb5 1843 | . 2 | |
5 | 3, 4 | xchbinxr 657 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 103 wb 104 wal 1314 wex 1453 wsb 1720 |
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 588 ax-in2 589 ax-5 1408 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-11 1469 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-fal 1322 df-sb 1721 |
This theorem is referenced by: sbn 1903 |
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