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Mirrors > Home > ILE Home > Th. List > hbn | Unicode version |
Description: If is not free in , it is not free in . (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
hbn.1 |
Ref | Expression |
---|---|
hbn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbnt 1543 | . 2 | |
2 | hbn.1 | . 2 | |
3 | 1, 2 | mpg 1340 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 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-in1 544 ax-in2 545 ax-5 1336 ax-gen 1338 ax-ie2 1383 ax-4 1400 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-fal 1249 |
This theorem is referenced by: hbnae 1609 sbn 1826 euor 1926 euor2 1958 |
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