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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-dib | Structured version Visualization version Unicode version |
Description: Isomorphism B is isomorphism A extended with an extra dimension set to the zero vector component i.e. the zero endormorphism. Its domain is lattice elements less than or equal to the fiducial co-atom . (Contributed by NM, 8-Dec-2013.) |
Ref | Expression |
---|---|
df-dib |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cdib 36427 | . 2 | |
2 | vk | . . 3 | |
3 | cvv 3200 | . . 3 | |
4 | vw | . . . 4 | |
5 | 2 | cv 1482 | . . . . 5 |
6 | clh 35270 | . . . . 5 | |
7 | 5, 6 | cfv 5888 | . . . 4 |
8 | vx | . . . . 5 | |
9 | 4 | cv 1482 | . . . . . . 7 |
10 | cdia 36317 | . . . . . . . 8 | |
11 | 5, 10 | cfv 5888 | . . . . . . 7 |
12 | 9, 11 | cfv 5888 | . . . . . 6 |
13 | 12 | cdm 5114 | . . . . 5 |
14 | 8 | cv 1482 | . . . . . . 7 |
15 | 14, 12 | cfv 5888 | . . . . . 6 |
16 | vf | . . . . . . . 8 | |
17 | cltrn 35387 | . . . . . . . . . 10 | |
18 | 5, 17 | cfv 5888 | . . . . . . . . 9 |
19 | 9, 18 | cfv 5888 | . . . . . . . 8 |
20 | cid 5023 | . . . . . . . . 9 | |
21 | cbs 15857 | . . . . . . . . . 10 | |
22 | 5, 21 | cfv 5888 | . . . . . . . . 9 |
23 | 20, 22 | cres 5116 | . . . . . . . 8 |
24 | 16, 19, 23 | cmpt 4729 | . . . . . . 7 |
25 | 24 | csn 4177 | . . . . . 6 |
26 | 15, 25 | cxp 5112 | . . . . 5 |
27 | 8, 13, 26 | cmpt 4729 | . . . 4 |
28 | 4, 7, 27 | cmpt 4729 | . . 3 |
29 | 2, 3, 28 | cmpt 4729 | . 2 |
30 | 1, 29 | wceq 1483 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: dibffval 36429 |
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