Step |
Hyp |
Ref |
Expression |
1 |
|
caragenunicl.o |
|
2 |
|
caragenunicl.s |
|
3 |
|
caragenunicl.y |
|
4 |
|
caragenunicl.ctb |
|
5 |
|
unieq |
|
6 |
|
uni0 |
|
7 |
5 6
|
eqtrdi |
|
8 |
7
|
adantl |
|
9 |
1 2
|
caragen0 |
|
10 |
9
|
adantr |
|
11 |
8 10
|
eqeltrd |
|
12 |
|
simpl |
|
13 |
|
neqne |
|
14 |
13
|
adantl |
|
15 |
|
simpr |
|
16 |
|
reldom |
|
17 |
|
brrelex1 |
|
18 |
16 17
|
mpan |
|
19 |
4 18
|
syl |
|
20 |
19
|
adantr |
|
21 |
|
0sdomg |
|
22 |
20 21
|
syl |
|
23 |
15 22
|
mpbird |
|
24 |
|
nnenom |
|
25 |
24
|
ensymi |
|
26 |
25
|
a1i |
|
27 |
|
domentr |
|
28 |
4 26 27
|
syl2anc |
|
29 |
28
|
adantr |
|
30 |
|
fodomr |
|
31 |
23 29 30
|
syl2anc |
|
32 |
|
founiiun |
|
33 |
32
|
adantl |
|
34 |
1
|
adantr |
|
35 |
|
1zzd |
|
36 |
|
nnuz |
|
37 |
|
fof |
|
38 |
37
|
adantl |
|
39 |
3
|
adantr |
|
40 |
38 39
|
fssd |
|
41 |
34 2 35 36 40
|
carageniuncl |
|
42 |
33 41
|
eqeltrd |
|
43 |
42
|
ex |
|
44 |
43
|
adantr |
|
45 |
44
|
exlimdv |
|
46 |
31 45
|
mpd |
|
47 |
12 14 46
|
syl2anc |
|
48 |
11 47
|
pm2.61dan |
|