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Mirrors > Home > ILE Home > Th. List > sb9v | Unicode version |
Description: Like sb9 1855 but with a distinct variable constraint between and . (Contributed by Jim Kingdon, 28-Feb-2018.) |
Ref | Expression |
---|---|
sb9v |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbs1 1814 | . 2 | |
2 | hbs1 1814 | . 2 | |
3 | sbequ12 1654 | . . . 4 | |
4 | 3 | equcoms 1594 | . . 3 |
5 | sbequ12 1654 | . . 3 | |
6 | 4, 5 | bitr3d 179 | . 2 |
7 | 1, 2, 6 | cbvalh 1636 | 1 |
Colors of variables: wff set class |
Syntax hints: 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-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-11 1397 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-sb 1646 |
This theorem is referenced by: sb9 1855 |
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