Step |
Hyp |
Ref |
Expression |
1 |
|
1m1e0 |
|
2 |
|
simpl |
|
3 |
|
simpr |
|
4 |
|
drngring |
|
5 |
|
eqid |
|
6 |
|
eqid |
|
7 |
5 6
|
ringidcl |
|
8 |
3 4 7
|
3syl |
|
9 |
|
eqid |
|
10 |
9 6
|
drngunz |
|
11 |
10
|
adantl |
|
12 |
|
eqid |
|
13 |
|
eqid |
|
14 |
5 12 9 13
|
lsatdim |
|
15 |
2 8 11 14
|
syl3anc |
|
16 |
|
lveclmod |
|
17 |
16
|
adantr |
|
18 |
8
|
snssd |
|
19 |
|
eqid |
|
20 |
5 19 12
|
lspcl |
|
21 |
17 18 20
|
syl2anc |
|
22 |
13
|
lssdimle |
|
23 |
2 21 22
|
syl2anc |
|
24 |
15 23
|
eqbrtrrd |
|
25 |
|
1nn0 |
|
26 |
|
dimcl |
|
27 |
26
|
adantr |
|
28 |
|
xnn0lem1lt |
|
29 |
25 27 28
|
sylancr |
|
30 |
24 29
|
mpbid |
|
31 |
1 30
|
eqbrtrrid |
|