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Mirrors > Home > NFE Home > Th. List > nfs1 | Unicode version |
Description: If is not free in , is not free in . (Contributed by Mario Carneiro, 11-Aug-2016.) |
Ref | Expression |
---|---|
nfs1.1 |
Ref | Expression |
---|---|
nfs1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfs1.1 | . . . 4 | |
2 | 1 | nfri 1762 | . . 3 |
3 | 2 | hbsb3 2043 | . 2 |
4 | 3 | nfi 1551 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wnf 1544 wsb 1648 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 |
This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 |
This theorem is referenced by: ax16ALT2 2048 sbco2 2086 sb8 2092 mo 2226 ralxpf 4827 |
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