![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > df-zn | Unicode version |
Description: Define the ring of
integers ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
df-zn |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | czn 13928 |
. 2
![]() | |
2 | vn |
. . 3
![]() ![]() | |
3 | cn0 9207 |
. . 3
![]() ![]() | |
4 | vz |
. . . 4
![]() ![]() | |
5 | czring 13906 |
. . . 4
![]() | |
6 | vs |
. . . . 5
![]() ![]() | |
7 | 4 | cv 1363 |
. . . . . 6
![]() ![]() |
8 | 2 | cv 1363 |
. . . . . . . . 9
![]() ![]() |
9 | 8 | csn 3607 |
. . . . . . . 8
![]() ![]() ![]() ![]() |
10 | crsp 13801 |
. . . . . . . . 9
![]() | |
11 | 7, 10 | cfv 5235 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() |
12 | 9, 11 | cfv 5235 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | cqg 13125 |
. . . . . . 7
![]() | |
14 | 7, 12, 13 | co 5897 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | cqus 12780 |
. . . . . 6
![]() ![]() | |
16 | 7, 14, 15 | co 5897 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 6 | cv 1363 |
. . . . . 6
![]() ![]() |
18 | cnx 12512 |
. . . . . . . 8
![]() ![]() | |
19 | cple 12599 |
. . . . . . . 8
![]() ![]() | |
20 | 18, 19 | cfv 5235 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() |
21 | vf |
. . . . . . . 8
![]() ![]() | |
22 | czrh 13926 |
. . . . . . . . . 10
![]() ![]() | |
23 | 17, 22 | cfv 5235 |
. . . . . . . . 9
![]() ![]() ![]() ![]() ![]() ![]() |
24 | cc0 7842 |
. . . . . . . . . . 11
![]() ![]() | |
25 | 8, 24 | wceq 1364 |
. . . . . . . . . 10
![]() ![]() ![]() ![]() |
26 | cz 9284 |
. . . . . . . . . 10
![]() ![]() | |
27 | cfzo 10174 |
. . . . . . . . . . 11
![]() | |
28 | 24, 8, 27 | co 5897 |
. . . . . . . . . 10
![]() ![]() ![]() ![]() ![]() |
29 | 25, 26, 28 | cif 3549 |
. . . . . . . . 9
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
30 | 23, 29 | cres 4646 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
31 | 21 | cv 1363 |
. . . . . . . . . 10
![]() ![]() |
32 | cle 8024 |
. . . . . . . . . 10
![]() ![]() | |
33 | 31, 32 | ccom 4648 |
. . . . . . . . 9
![]() ![]() ![]() ![]() ![]() ![]() |
34 | 31 | ccnv 4643 |
. . . . . . . . 9
![]() ![]() ![]() |
35 | 33, 34 | ccom 4648 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
36 | 21, 30, 35 | csb 3072 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
37 | 20, 36 | cop 3610 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
38 | csts 12513 |
. . . . . 6
![]() | |
39 | 17, 37, 38 | co 5897 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
40 | 6, 16, 39 | csb 3072 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
41 | 4, 5, 40 | csb 3072 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
42 | 2, 3, 41 | cmpt 4079 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
43 | 1, 42 | wceq 1364 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: znval 13949 |
Copyright terms: Public domain | W3C validator |