Step |
Hyp |
Ref |
Expression |
1 |
|
rnglidl0.u |
|
2 |
|
rnglidl1.b |
|
3 |
2
|
eqimssi |
|
4 |
3
|
a1i |
|
5 |
|
rnggrp |
|
6 |
2
|
grpbn0 |
|
7 |
5 6
|
syl |
|
8 |
|
eqid |
|
9 |
5
|
adantr |
|
10 |
|
simpl |
|
11 |
2
|
eqcomi |
|
12 |
11
|
eleq2i |
|
13 |
12
|
biimpi |
|
14 |
13
|
3ad2ant1 |
|
15 |
14
|
adantl |
|
16 |
|
simpr2 |
|
17 |
|
eqid |
|
18 |
2 17
|
rngcl |
|
19 |
10 15 16 18
|
syl3anc |
|
20 |
|
simpr3 |
|
21 |
2 8 9 19 20
|
grpcld |
|
22 |
21
|
ralrimivvva |
|
23 |
|
eqid |
|
24 |
1 23 8 17
|
islidl |
|
25 |
4 7 22 24
|
syl3anbrc |
|