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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-rmy | Structured version Visualization version Unicode version |
Description: Define the X sequence as the irrational part of some solution of a special Pell equation. See frmy 37479 and rmxyval 37480 for a more useful but non-eliminable definition. (Contributed by Stefan O'Rear, 21-Sep-2014.) |
Ref | Expression |
---|---|
df-rmy | Yrm |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | crmy 37465 | . 2 Yrm | |
2 | va | . . 3 | |
3 | vn | . . 3 | |
4 | c2 11070 | . . . 4 | |
5 | cuz 11687 | . . . 4 | |
6 | 4, 5 | cfv 5888 | . . 3 |
7 | cz 11377 | . . 3 | |
8 | 2 | cv 1482 | . . . . . . 7 |
9 | cexp 12860 | . . . . . . . . . 10 | |
10 | 8, 4, 9 | co 6650 | . . . . . . . . 9 |
11 | c1 9937 | . . . . . . . . 9 | |
12 | cmin 10266 | . . . . . . . . 9 | |
13 | 10, 11, 12 | co 6650 | . . . . . . . 8 |
14 | csqrt 13973 | . . . . . . . 8 | |
15 | 13, 14 | cfv 5888 | . . . . . . 7 |
16 | caddc 9939 | . . . . . . 7 | |
17 | 8, 15, 16 | co 6650 | . . . . . 6 |
18 | 3 | cv 1482 | . . . . . 6 |
19 | 17, 18, 9 | co 6650 | . . . . 5 |
20 | vb | . . . . . . 7 | |
21 | cn0 11292 | . . . . . . . 8 | |
22 | 21, 7 | cxp 5112 | . . . . . . 7 |
23 | 20 | cv 1482 | . . . . . . . . 9 |
24 | c1st 7166 | . . . . . . . . 9 | |
25 | 23, 24 | cfv 5888 | . . . . . . . 8 |
26 | c2nd 7167 | . . . . . . . . . 10 | |
27 | 23, 26 | cfv 5888 | . . . . . . . . 9 |
28 | cmul 9941 | . . . . . . . . 9 | |
29 | 15, 27, 28 | co 6650 | . . . . . . . 8 |
30 | 25, 29, 16 | co 6650 | . . . . . . 7 |
31 | 20, 22, 30 | cmpt 4729 | . . . . . 6 |
32 | 31 | ccnv 5113 | . . . . 5 |
33 | 19, 32 | cfv 5888 | . . . 4 |
34 | 33, 26 | cfv 5888 | . . 3 |
35 | 2, 3, 6, 7, 34 | cmpt2 6652 | . 2 |
36 | 1, 35 | wceq 1483 | 1 Yrm |
Colors of variables: wff setvar class |
This definition is referenced by: rmyfval 37469 frmy 37479 |
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