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Mirrors > Home > ILE Home > Th. List > nfd | Unicode version |
Description: Deduce that is not free in in a context. (Contributed by Mario Carneiro, 24-Sep-2016.) |
Ref | Expression |
---|---|
nfd.1 | |
nfd.2 |
Ref | Expression |
---|---|
nfd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfd.1 | . . . 4 | |
2 | 1 | nfri 1412 | . . 3 |
3 | nfd.2 | . . 3 | |
4 | 2, 3 | alrimih 1358 | . 2 |
5 | df-nf 1350 | . 2 | |
6 | 4, 5 | sylibr 137 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1241 wnf 1349 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-4 1400 |
This theorem depends on definitions: df-bi 110 df-nf 1350 |
This theorem is referenced by: nfdh 1417 nfrimi 1418 nfnt 1546 cbv1h 1633 nfald 1643 a16nf 1746 dvelimALT 1886 dvelimfv 1887 nfsb4t 1890 hbeud 1922 |
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