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Mirrors > Home > ILE Home > Th. List > hban | Unicode version |
Description: If is not free in and , it is not free in . (Contributed by NM, 5-Aug-1993.) (Proof shortened by Mario Carneiro, 2-Feb-2015.) |
Ref | Expression |
---|---|
hb.1 | |
hb.2 |
Ref | Expression |
---|---|
hban |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hb.1 | . . 3 | |
2 | hb.2 | . . 3 | |
3 | 1, 2 | anim12i 321 | . 2 |
4 | 19.26 1370 | . 2 | |
5 | 3, 4 | sylibr 137 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 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-5 1336 ax-gen 1338 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: hbbi 1440 hb3an 1442 hbsbv 1817 mopick 1978 eupicka 1980 mopick2 1983 cleqh 2137 |
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