Step |
Hyp |
Ref |
Expression |
1 |
|
eq0 |
|
2 |
|
breq2 |
|
3 |
2
|
elrab |
|
4 |
3
|
notbii |
|
5 |
|
imnan |
|
6 |
4 5
|
sylbb2 |
|
7 |
6
|
alimi |
|
8 |
|
df-ral |
|
9 |
7 8
|
sylibr |
|
10 |
|
ssel2 |
|
11 |
10
|
nnred |
|
12 |
11
|
adantlr |
|
13 |
|
nnre |
|
14 |
13
|
ad2antlr |
|
15 |
|
lenlt |
|
16 |
15
|
biimprd |
|
17 |
12 14 16
|
syl2anc |
|
18 |
17
|
ralimdva |
|
19 |
|
fzfi |
|
20 |
10
|
nnnn0d |
|
21 |
20
|
adantlr |
|
22 |
21
|
adantr |
|
23 |
|
nnnn0 |
|
24 |
23
|
ad3antlr |
|
25 |
|
simpr |
|
26 |
22 24 25
|
3jca |
|
27 |
26
|
ex |
|
28 |
|
elfz2nn0 |
|
29 |
27 28
|
syl6ibr |
|
30 |
29
|
ralimdva |
|
31 |
30
|
imp |
|
32 |
|
dfss3 |
|
33 |
31 32
|
sylibr |
|
34 |
|
ssfi |
|
35 |
19 33 34
|
sylancr |
|
36 |
35
|
ex |
|
37 |
18 36
|
syld |
|
38 |
9 37
|
syl5 |
|
39 |
1 38
|
syl5bi |
|
40 |
39
|
necon3bd |
|
41 |
40
|
imp |
|
42 |
41
|
an32s |
|
43 |
42
|
3impa |
|