Step |
Hyp |
Ref |
Expression |
1 |
|
isdomn3.b |
|
2 |
|
isdomn3.z |
|
3 |
|
isdomn3.u |
|
4 |
|
eqid |
|
5 |
1 4 2
|
isdomn |
|
6 |
|
eqid |
|
7 |
6 2
|
isnzr |
|
8 |
7
|
anbi1i |
|
9 |
|
anass |
|
10 |
8 9
|
bitri |
|
11 |
1 6
|
ringidcl |
|
12 |
|
eldifsn |
|
13 |
12
|
baibr |
|
14 |
11 13
|
syl |
|
15 |
1 4
|
ringcl |
|
16 |
15
|
3expb |
|
17 |
16
|
biantrurd |
|
18 |
|
eldifsn |
|
19 |
17 18
|
bitr4di |
|
20 |
19
|
imbi2d |
|
21 |
20
|
2ralbidva |
|
22 |
|
con34b |
|
23 |
|
neanior |
|
24 |
|
df-ne |
|
25 |
23 24
|
imbi12i |
|
26 |
22 25
|
bitr4i |
|
27 |
26
|
2ralbii |
|
28 |
|
impexp |
|
29 |
|
an4 |
|
30 |
|
eldifsn |
|
31 |
|
eldifsn |
|
32 |
30 31
|
anbi12i |
|
33 |
29 32
|
bitr4i |
|
34 |
33
|
imbi1i |
|
35 |
28 34
|
bitr3i |
|
36 |
35
|
2albii |
|
37 |
|
r2al |
|
38 |
|
r2al |
|
39 |
36 37 38
|
3bitr4ri |
|
40 |
21 27 39
|
3bitr4g |
|
41 |
14 40
|
anbi12d |
|
42 |
3
|
ringmgp |
|
43 |
3 1
|
mgpbas |
|
44 |
3 6
|
ringidval |
|
45 |
3 4
|
mgpplusg |
|
46 |
43 44 45
|
issubm |
|
47 |
|
3anass |
|
48 |
46 47
|
syl6bb |
|
49 |
|
difss |
|
50 |
49
|
biantrur |
|
51 |
48 50
|
bitr4di |
|
52 |
42 51
|
syl |
|
53 |
41 52
|
bitr4d |
|
54 |
53
|
pm5.32i |
|
55 |
10 54
|
bitri |
|
56 |
5 55
|
bitri |
|