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Mirrors > Home > MPE Home > Th. List > dvelimf | Structured version Visualization version Unicode version |
Description: Version of dvelimv 2338 without any variable restrictions. (Contributed by NM, 1-Oct-2002.) (Revised by Mario Carneiro, 6-Oct-2016.) (Proof shortened by Wolf Lammen, 11-May-2018.) |
Ref | Expression |
---|---|
dvelimf.1 | |
dvelimf.2 | |
dvelimf.3 |
Ref | Expression |
---|---|
dvelimf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dvelimf.2 | . . . 4 | |
2 | dvelimf.3 | . . . 4 | |
3 | 1, 2 | equsal 2291 | . . 3 |
4 | 3 | bicomi 214 | . 2 |
5 | nfnae 2318 | . . 3 | |
6 | nfeqf 2301 | . . . . 5 | |
7 | 6 | ancoms 469 | . . . 4 |
8 | dvelimf.1 | . . . . 5 | |
9 | 8 | a1i 11 | . . . 4 |
10 | 7, 9 | nfimd 1823 | . . 3 |
11 | 5, 10 | nfald2 2331 | . 2 |
12 | 4, 11 | nfxfrd 1780 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 196 wa 384 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-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 |
This theorem is referenced by: dvelimdf 2335 dvelimh 2336 dvelimnf 2339 |
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