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Mirrors > Home > MPE Home > Th. List > dvelimdc | Structured version Visualization version Unicode version |
Description: Deduction form of dvelimc 2787. (Contributed by Mario Carneiro, 8-Oct-2016.) |
Ref | Expression |
---|---|
dvelimdc.1 | |
dvelimdc.2 | |
dvelimdc.3 | |
dvelimdc.4 | |
dvelimdc.5 |
Ref | Expression |
---|---|
dvelimdc |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1843 | . . 3 | |
2 | dvelimdc.1 | . . . . 5 | |
3 | dvelimdc.2 | . . . . 5 | |
4 | dvelimdc.3 | . . . . . 6 | |
5 | 4 | nfcrd 2771 | . . . . 5 |
6 | dvelimdc.4 | . . . . . 6 | |
7 | 6 | nfcrd 2771 | . . . . 5 |
8 | dvelimdc.5 | . . . . . 6 | |
9 | eleq2 2690 | . . . . . 6 | |
10 | 8, 9 | syl6 35 | . . . . 5 |
11 | 2, 3, 5, 7, 10 | dvelimdf 2335 | . . . 4 |
12 | 11 | imp 445 | . . 3 |
13 | 1, 12 | nfcd 2759 | . 2 |
14 | 13 | ex 450 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 196 wa 384 wal 1481 wceq 1483 wnf 1708 wcel 1990 wnfc 2751 |
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-cleq 2615 df-clel 2618 df-nfc 2753 |
This theorem is referenced by: dvelimc 2787 |
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