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Mirrors > Home > ILE Home > Th. List > hbbi | Unicode version |
Description: If is not free in and , it is not free in . (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
hb.1 | |
hb.2 |
Ref | Expression |
---|---|
hbbi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfbi2 386 | . 2 | |
2 | hb.1 | . . . 4 | |
3 | hb.2 | . . . 4 | |
4 | 2, 3 | hbim 1525 | . . 3 |
5 | 3, 2 | hbim 1525 | . . 3 |
6 | 4, 5 | hban 1527 | . 2 |
7 | 1, 6 | hbxfrbi 1452 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wal 1333 |
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-gen 1429 ax-4 1490 ax-i5r 1515 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: euf 2011 sb8euh 2029 |
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