Step |
Hyp |
Ref |
Expression |
1 |
|
frrlem11.1 |
|
2 |
|
frrlem11.2 |
|
3 |
|
frrlem11.3 |
|
4 |
|
frrlem11.4 |
|
5 |
|
frrlem12.5 |
|
6 |
|
frrlem12.6 |
|
7 |
|
frrlem12.7 |
|
8 |
|
frrlem13.8 |
|
9 |
|
frrlem13.9 |
|
10 |
|
frrlem14.10 |
|
11 |
1 2
|
frrlem7 |
|
12 |
11
|
a1i |
|
13 |
|
eldifn |
|
14 |
13
|
adantl |
|
15 |
1 2 3 4 5 6 7 8 9
|
frrlem13 |
|
16 |
|
elssuni |
|
17 |
15 16
|
syl |
|
18 |
1 2
|
frrlem5 |
|
19 |
17 18
|
sseqtrrdi |
|
20 |
|
dmss |
|
21 |
19 20
|
syl |
|
22 |
|
ssun2 |
|
23 |
|
vsnid |
|
24 |
22 23
|
sselii |
|
25 |
4
|
dmeqi |
|
26 |
|
dmun |
|
27 |
|
ovex |
|
28 |
27
|
dmsnop |
|
29 |
28
|
uneq2i |
|
30 |
25 26 29
|
3eqtri |
|
31 |
24 30
|
eleqtrri |
|
32 |
31
|
a1i |
|
33 |
21 32
|
sseldd |
|
34 |
33
|
expr |
|
35 |
14 34
|
mtod |
|
36 |
35
|
nrexdv |
|
37 |
|
df-ne |
|
38 |
37 10
|
sylan2br |
|
39 |
38
|
ex |
|
40 |
36 39
|
mt3d |
|
41 |
|
ssdif0 |
|
42 |
40 41
|
sylibr |
|
43 |
12 42
|
eqssd |
|