Step |
Hyp |
Ref |
Expression |
1 |
|
cvmcov.1 |
|
2 |
|
cvmseu.1 |
|
3 |
|
cvmfolem.2 |
|
4 |
|
cvmcn |
|
5 |
2 3
|
cnf |
|
6 |
4 5
|
syl |
|
7 |
1 3
|
cvmcov |
|
8 |
7
|
ex |
|
9 |
|
n0 |
|
10 |
1
|
cvmsn0 |
|
11 |
10
|
ad2antll |
|
12 |
|
n0 |
|
13 |
11 12
|
sylib |
|
14 |
|
simprlr |
|
15 |
1
|
cvmsss |
|
16 |
14 15
|
syl |
|
17 |
|
simprr |
|
18 |
16 17
|
sseldd |
|
19 |
|
elssuni |
|
20 |
18 19
|
syl |
|
21 |
20 2
|
sseqtrrdi |
|
22 |
|
simpll |
|
23 |
1
|
cvmsf1o |
|
24 |
22 14 17 23
|
syl3anc |
|
25 |
|
f1ocnv |
|
26 |
|
f1of |
|
27 |
24 25 26
|
3syl |
|
28 |
|
simprll |
|
29 |
27 28
|
ffvelrnd |
|
30 |
21 29
|
sseldd |
|
31 |
|
f1ocnvfv2 |
|
32 |
24 28 31
|
syl2anc |
|
33 |
|
fvres |
|
34 |
29 33
|
syl |
|
35 |
32 34
|
eqtr3d |
|
36 |
|
fveq2 |
|
37 |
36
|
rspceeqv |
|
38 |
30 35 37
|
syl2anc |
|
39 |
38
|
expr |
|
40 |
39
|
exlimdv |
|
41 |
13 40
|
mpd |
|
42 |
41
|
expr |
|
43 |
42
|
exlimdv |
|
44 |
9 43
|
syl5bi |
|
45 |
44
|
expimpd |
|
46 |
45
|
rexlimdva |
|
47 |
8 46
|
syld |
|
48 |
47
|
ralrimiv |
|
49 |
|
dffo3 |
|
50 |
6 48 49
|
sylanbrc |
|