Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > hbsbv | Unicode version |
Description: This is a version of hbsb 1823 with an extra distinct variable constraint, on and . (Contributed by Jim Kingdon, 25-Dec-2017.) |
Ref | Expression |
---|---|
hbsbv.1 |
Ref | Expression |
---|---|
hbsbv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-sb 1646 | . 2 | |
2 | ax-17 1419 | . . . 4 | |
3 | hbsbv.1 | . . . 4 | |
4 | 2, 3 | hbim 1437 | . . 3 |
5 | 2, 3 | hban 1439 | . . . 4 |
6 | 5 | hbex 1527 | . . 3 |
7 | 4, 6 | hban 1439 | . 2 |
8 | 1, 7 | hbxfrbi 1361 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wal 1241 wex 1381 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-4 1400 ax-17 1419 ax-i5r 1428 |
This theorem depends on definitions: df-bi 110 df-sb 1646 |
This theorem is referenced by: sbco2vlem 1820 2sb5rf 1865 2sb6rf 1866 |
Copyright terms: Public domain | W3C validator |