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Mirrors > Home > MPE Home > Th. List > nf5d | Structured version Visualization version Unicode version |
Description: Deduce that is not free in in a context. (Contributed by Mario Carneiro, 24-Sep-2016.) |
Ref | Expression |
---|---|
nf5d.1 | |
nf5d.2 |
Ref | Expression |
---|---|
nf5d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nf5d.1 | . . 3 | |
2 | nf5d.2 | . . 3 | |
3 | 1, 2 | alrimi 2082 | . 2 |
4 | nf5-1 2023 | . 2 | |
5 | 3, 4 | syl 17 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wal 1481 wnf 1708 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-10 2019 ax-12 2047 |
This theorem depends on definitions: df-bi 197 df-ex 1705 df-nf 1710 |
This theorem is referenced by: axc16nfOLD 2163 nfaldOLD 2166 dvelimhw 2173 cbv1h 2268 nfeqf 2301 axc16nfALT 2323 nfsb2 2360 distel 31709 bj-cbv1hv 32730 wl-ax11-lem3 33364 |
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