Step |
Hyp |
Ref |
Expression |
1 |
|
simprl |
|
2 |
|
innei |
|
3 |
2
|
3expib |
|
4 |
3
|
ralrimivv |
|
5 |
|
fiint |
|
6 |
4 5
|
sylib |
|
7 |
|
sseq1 |
|
8 |
|
neeq1 |
|
9 |
|
eleq1 |
|
10 |
7 8 9
|
3anbi123d |
|
11 |
|
3ancomb |
|
12 |
|
3anass |
|
13 |
11 12
|
bitri |
|
14 |
10 13
|
syl6bb |
|
15 |
|
inteq |
|
16 |
15
|
eleq1d |
|
17 |
14 16
|
imbi12d |
|
18 |
17
|
spcgv |
|
19 |
6 18
|
syl5 |
|
20 |
19
|
com3l |
|
21 |
1 20
|
mpdi |
|
22 |
21
|
impl |
|