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Mirrors > Home > MPE Home > Th. List > df-mvr | Structured version Visualization version Unicode version |
Description: Define the generating elements of the power series algebra. (Contributed by Mario Carneiro, 7-Jan-2015.) |
Ref | Expression |
---|---|
df-mvr | mVar |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cmvr 19352 | . 2 mVar | |
2 | vi | . . 3 | |
3 | vr | . . 3 | |
4 | cvv 3200 | . . 3 | |
5 | vx | . . . 4 | |
6 | 2 | cv 1482 | . . . 4 |
7 | vf | . . . . 5 | |
8 | vh | . . . . . . . . . 10 | |
9 | 8 | cv 1482 | . . . . . . . . 9 |
10 | 9 | ccnv 5113 | . . . . . . . 8 |
11 | cn 11020 | . . . . . . . 8 | |
12 | 10, 11 | cima 5117 | . . . . . . 7 |
13 | cfn 7955 | . . . . . . 7 | |
14 | 12, 13 | wcel 1990 | . . . . . 6 |
15 | cn0 11292 | . . . . . . 7 | |
16 | cmap 7857 | . . . . . . 7 | |
17 | 15, 6, 16 | co 6650 | . . . . . 6 |
18 | 14, 8, 17 | crab 2916 | . . . . 5 |
19 | 7 | cv 1482 | . . . . . . 7 |
20 | vy | . . . . . . . 8 | |
21 | 20, 5 | weq 1874 | . . . . . . . . 9 |
22 | c1 9937 | . . . . . . . . 9 | |
23 | cc0 9936 | . . . . . . . . 9 | |
24 | 21, 22, 23 | cif 4086 | . . . . . . . 8 |
25 | 20, 6, 24 | cmpt 4729 | . . . . . . 7 |
26 | 19, 25 | wceq 1483 | . . . . . 6 |
27 | 3 | cv 1482 | . . . . . . 7 |
28 | cur 18501 | . . . . . . 7 | |
29 | 27, 28 | cfv 5888 | . . . . . 6 |
30 | c0g 16100 | . . . . . . 7 | |
31 | 27, 30 | cfv 5888 | . . . . . 6 |
32 | 26, 29, 31 | cif 4086 | . . . . 5 |
33 | 7, 18, 32 | cmpt 4729 | . . . 4 |
34 | 5, 6, 33 | cmpt 4729 | . . 3 |
35 | 2, 3, 4, 4, 34 | cmpt2 6652 | . 2 |
36 | 1, 35 | wceq 1483 | 1 mVar |
Colors of variables: wff setvar class |
This definition is referenced by: mvrfval 19420 vr1val 19562 |
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