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Mirrors > Home > ILE Home > Th. List > hbsb | Unicode version |
Description: If is not free in , it is not free in when and are distinct. (Contributed by NM, 12-Aug-1993.) (Proof rewritten by Jim Kingdon, 22-Mar-2018.) |
Ref | Expression |
---|---|
hbsb.1 |
Ref | Expression |
---|---|
hbsb |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbsb.1 | . . . 4 | |
2 | 1 | nfi 1449 | . . 3 |
3 | 2 | nfsb 1933 | . 2 |
4 | 3 | nfri 1506 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1340 wsb 1749 |
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-io 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 |
This theorem depends on definitions: df-bi 116 df-nf 1448 df-sb 1750 |
This theorem is referenced by: sb10f 1982 hbsb4 1999 sb8euh 2036 hbab 2155 hblem 2272 |
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