Mathbox for Wolf Lammen |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > wl-eutf | Structured version Visualization version Unicode version |
Description: Closed form of df-eu 2474 with a distinctor avoiding distinct variable conditions. (Contributed by Wolf Lammen, 23-Sep-2020.) |
Ref | Expression |
---|---|
wl-eutf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfnae 2318 | . . 3 | |
2 | nfa1 2028 | . . 3 | |
3 | 1, 2 | nfan 1828 | . 2 |
4 | nfnae 2318 | . . 3 | |
5 | nfnf1 2031 | . . . 4 | |
6 | 5 | nfal 2153 | . . 3 |
7 | 4, 6 | nfan 1828 | . 2 |
8 | simpl 473 | . 2 | |
9 | sp 2053 | . . 3 | |
10 | 9 | adantl 482 | . 2 |
11 | 3, 7, 8, 10 | wl-eudf 33354 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 196 wa 384 wal 1481 wex 1704 wnf 1708 weu 2470 |
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-11 2034 ax-12 2047 ax-13 2246 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 df-eu 2474 |
This theorem is referenced by: (None) |
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