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Mirrors > Home > MPE Home > Th. List > df-nv | Unicode version |
Description: Define the class of all normed complex vector spaces. (Contributed by NM, 11-Nov-2006.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-nv |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cnv 22024 |
. 2
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2 | vg |
. . . . . . 7
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3 | 2 | cv 1648 |
. . . . . 6
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4 | vs |
. . . . . . 7
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5 | 4 | cv 1648 |
. . . . . 6
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6 | 3, 5 | cop 3785 |
. . . . 5
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7 | cvc 21985 |
. . . . 5
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8 | 6, 7 | wcel 1721 |
. . . 4
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9 | 3 | crn 4846 |
. . . . 5
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10 | cr 8953 |
. . . . 5
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11 | vn |
. . . . . 6
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12 | 11 | cv 1648 |
. . . . 5
![]() ![]() |
13 | 9, 10, 12 | wf 5417 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | vx |
. . . . . . . . . 10
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15 | 14 | cv 1648 |
. . . . . . . . 9
![]() ![]() |
16 | 15, 12 | cfv 5421 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() |
17 | cc0 8954 |
. . . . . . . 8
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18 | 16, 17 | wceq 1649 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
19 | cgi 21736 |
. . . . . . . . 9
![]() | |
20 | 3, 19 | cfv 5421 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() |
21 | 15, 20 | wceq 1649 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
22 | 18, 21 | wi 4 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
23 | vy |
. . . . . . . . . . 11
![]() ![]() | |
24 | 23 | cv 1648 |
. . . . . . . . . 10
![]() ![]() |
25 | 24, 15, 5 | co 6048 |
. . . . . . . . 9
![]() ![]() ![]() ![]() ![]() ![]() |
26 | 25, 12 | cfv 5421 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
27 | cabs 12002 |
. . . . . . . . . 10
![]() ![]() | |
28 | 24, 27 | cfv 5421 |
. . . . . . . . 9
![]() ![]() ![]() ![]() ![]() ![]() |
29 | cmul 8959 |
. . . . . . . . 9
![]() ![]() | |
30 | 28, 16, 29 | co 6048 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
31 | 26, 30 | wceq 1649 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
32 | cc 8952 |
. . . . . . 7
![]() ![]() | |
33 | 31, 23, 32 | wral 2674 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
34 | 15, 24, 3 | co 6048 |
. . . . . . . . 9
![]() ![]() ![]() ![]() ![]() ![]() |
35 | 34, 12 | cfv 5421 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
36 | 24, 12 | cfv 5421 |
. . . . . . . . 9
![]() ![]() ![]() ![]() ![]() ![]() |
37 | caddc 8957 |
. . . . . . . . 9
![]() ![]() | |
38 | 16, 36, 37 | co 6048 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
39 | cle 9085 |
. . . . . . . 8
![]() ![]() | |
40 | 35, 38, 39 | wbr 4180 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
41 | 40, 23, 9 | wral 2674 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
42 | 22, 33, 41 | w3a 936 |
. . . . 5
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43 | 42, 14, 9 | wral 2674 |
. . . 4
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44 | 8, 13, 43 | w3a 936 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
45 | 44, 2, 4, 11 | coprab 6049 |
. 2
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46 | 1, 45 | wceq 1649 |
1
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Colors of variables: wff set class |
This definition is referenced by: nvss 22033 isnvlem 22050 |
Copyright terms: Public domain | W3C validator |