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Mirrors > Home > ILE Home > Th. List > hbor | Unicode version |
Description: If is not free in and , it is not free in . (Contributed by NM, 5-Aug-1993.) (Revised by NM, 2-Feb-2015.) |
Ref | Expression |
---|---|
hb.1 | |
hb.2 |
Ref | Expression |
---|---|
hbor |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hb.1 | . . 3 | |
2 | orc 633 | . . . 4 | |
3 | 2 | alimi 1344 | . . 3 |
4 | 1, 3 | syl 14 | . 2 |
5 | hb.2 | . . 3 | |
6 | olc 632 | . . . 4 | |
7 | 6 | alimi 1344 | . . 3 |
8 | 5, 7 | syl 14 | . 2 |
9 | 4, 8 | jaoi 636 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wo 629 wal 1241 |
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-io 630 ax-5 1336 ax-gen 1338 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: hb3or 1441 nfor 1466 19.43 1519 |
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