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Mirrors > Home > ILE Home > Th. List > hbex | Unicode version |
Description: If is not free in , it is not free in . (Contributed by NM, 5-Aug-1993.) (Revised by NM, 2-Feb-2015.) |
Ref | Expression |
---|---|
hbex.1 |
Ref | Expression |
---|---|
hbex |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbe1 1488 | . . 3 | |
2 | 1 | hbal 1470 | . 2 |
3 | hbex.1 | . . 3 | |
4 | 19.8a 1583 | . . 3 | |
5 | 3, 4 | alrimih 1462 | . 2 |
6 | 2, 5 | exlimih 1586 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1346 wex 1485 |
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-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-4 1503 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: nfex 1630 excomim 1656 19.12 1658 cbvexh 1748 cbvexdh 1919 hbsbv 1934 hbeu1 2029 hbmo 2058 moexexdc 2103 |
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