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Mirrors > Home > MPE Home > Th. List > nfreud | Structured version Visualization version Unicode version |
Description: Deduction version of nfreu 3114. (Contributed by NM, 15-Feb-2013.) (Revised by Mario Carneiro, 8-Oct-2016.) |
Ref | Expression |
---|---|
nfreud.1 | |
nfreud.2 | |
nfreud.3 |
Ref | Expression |
---|---|
nfreud |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-reu 2919 | . 2 | |
2 | nfreud.1 | . . 3 | |
3 | nfcvf 2788 | . . . . . 6 | |
4 | 3 | adantl 482 | . . . . 5 |
5 | nfreud.2 | . . . . . 6 | |
6 | 5 | adantr 481 | . . . . 5 |
7 | 4, 6 | nfeld 2773 | . . . 4 |
8 | nfreud.3 | . . . . 5 | |
9 | 8 | adantr 481 | . . . 4 |
10 | 7, 9 | nfand 1826 | . . 3 |
11 | 2, 10 | nfeud2 2482 | . 2 |
12 | 1, 11 | nfxfrd 1780 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wa 384 wal 1481 wnf 1708 wcel 1990 weu 2470 wnfc 2751 wreu 2914 |
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-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
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 df-cleq 2615 df-clel 2618 df-nfc 2753 df-reu 2919 |
This theorem is referenced by: nfreu 3114 |
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