Step |
Hyp |
Ref |
Expression |
1 |
|
cnextucn.x |
|
2 |
|
cnextucn.y |
|
3 |
|
cnextucn.j |
|
4 |
|
cnextucn.k |
|
5 |
|
cnextucn.u |
|
6 |
|
cnextucn.v |
|
7 |
|
cnextucn.t |
|
8 |
|
cnextucn.w |
|
9 |
|
cnextucn.h |
|
10 |
|
cnextucn.a |
|
11 |
|
cnextucn.f |
|
12 |
|
cnextucn.c |
|
13 |
|
cnextucn.l |
|
14 |
|
eqid |
|
15 |
|
eqid |
|
16 |
3
|
tpstop |
|
17 |
6 16
|
syl |
|
18 |
2 4
|
tpsuni |
|
19 |
7 18
|
syl |
|
20 |
19
|
feq3d |
|
21 |
11 20
|
mpbid |
|
22 |
1 3
|
tpsuni |
|
23 |
6 22
|
syl |
|
24 |
10 23
|
sseqtrd |
|
25 |
12 23
|
eqtrd |
|
26 |
2 4
|
istps |
|
27 |
7 26
|
sylib |
|
28 |
27
|
adantr |
|
29 |
23
|
eleq2d |
|
30 |
29
|
biimpar |
|
31 |
12
|
adantr |
|
32 |
30 31
|
eleqtrrd |
|
33 |
|
toptopon2 |
|
34 |
17 33
|
sylib |
|
35 |
|
fveq2 |
|
36 |
35
|
eleq2d |
|
37 |
23 36
|
syl |
|
38 |
34 37
|
mpbird |
|
39 |
38
|
adantr |
|
40 |
10
|
adantr |
|
41 |
|
trnei |
|
42 |
39 40 30 41
|
syl3anc |
|
43 |
32 42
|
mpbid |
|
44 |
11
|
adantr |
|
45 |
|
flfval |
|
46 |
28 43 44 45
|
syl3anc |
|
47 |
8
|
adantr |
|
48 |
30 13
|
syldan |
|
49 |
5
|
fveq2i |
|
50 |
48 49
|
eleqtrdi |
|
51 |
2
|
fvexi |
|
52 |
|
filfbas |
|
53 |
43 52
|
syl |
|
54 |
|
fmfil |
|
55 |
51 53 44 54
|
mp3an2i |
|
56 |
2 4
|
cuspcvg |
|
57 |
47 50 55 56
|
syl3anc |
|
58 |
46 57
|
eqnetrd |
|
59 |
|
cuspusp |
|
60 |
8 59
|
syl |
|
61 |
4
|
uspreg |
|
62 |
60 9 61
|
syl2anc |
|
63 |
14 15 17 9 21 24 25 58 62
|
cnextcn |
|