Step |
Hyp |
Ref |
Expression |
1 |
|
id |
|
2 |
|
pwidg |
|
3 |
1 2
|
elind |
|
4 |
|
elssuni |
|
5 |
3 4
|
syl |
|
6 |
|
inidm |
|
7 |
|
ineq2 |
|
8 |
6 7
|
eqtr3id |
|
9 |
8
|
pweqd |
|
10 |
9
|
ineq2d |
|
11 |
10
|
unieqd |
|
12 |
8 11
|
sseq12d |
|
13 |
5 12
|
syl5ibcom |
|
14 |
|
0ss |
|
15 |
|
sseq1 |
|
16 |
14 15
|
mpbiri |
|
17 |
16
|
a1i |
|
18 |
13 17
|
jaod |
|
19 |
18
|
ralimdv |
|
20 |
19
|
ralimia |
|
21 |
20
|
adantl |
|
22 |
|
isbasisg |
|
23 |
22
|
adantr |
|
24 |
21 23
|
mpbird |
|