Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
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 1475 | . . 3 | |
2 | 1 | hbal 1457 | . 2 |
3 | hbex.1 | . . 3 | |
4 | 19.8a 1570 | . . 3 | |
5 | 3, 4 | alrimih 1449 | . 2 |
6 | 2, 5 | exlimih 1573 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1333 wex 1472 |
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 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-4 1490 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: nfex 1617 excomim 1643 19.12 1645 cbvexh 1735 cbvexdh 1906 hbsbv 1921 hbeu1 2016 hbmo 2045 moexexdc 2090 |
Copyright terms: Public domain | W3C validator |