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Mirrors > Home > ILE Home > Th. List > hbsb3 | Unicode version |
Description: If is not free in , is not free in . (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
hbsb3.1 |
Ref | Expression |
---|---|
hbsb3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbsb3.1 | . . 3 | |
2 | 1 | sbimi 1722 | . 2 |
3 | hbsb2a 1762 | . 2 | |
4 | 2, 3 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1314 wsb 1720 |
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 1408 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-11 1469 ax-4 1472 ax-i9 1495 ax-ial 1499 |
This theorem depends on definitions: df-bi 116 df-sb 1721 |
This theorem is referenced by: nfs1 1765 sbcof2 1766 ax16 1769 sb8h 1810 sb8eh 1811 ax16ALT 1815 |
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