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Mirrors > Home > MPE Home > Th. List > nf3an | Structured version Visualization version Unicode version |
Description: If is not free in , , and , it is not free in . (Contributed by Mario Carneiro, 11-Aug-2016.) |
Ref | Expression |
---|---|
nfan.1 | |
nfan.2 | |
nfan.3 |
Ref | Expression |
---|---|
nf3an |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-3an 1039 | . 2 | |
2 | nfan.1 | . . . 4 | |
3 | nfan.2 | . . . 4 | |
4 | 2, 3 | nfan 1828 | . . 3 |
5 | nfan.3 | . . 3 | |
6 | 4, 5 | nfan 1828 | . 2 |
7 | 1, 6 | nfxfr 1779 | 1 |
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