Step |
Hyp |
Ref |
Expression |
1 |
|
elat2 |
|
2 |
|
chne0 |
|
3 |
|
nfv |
|
4 |
|
nfv |
|
5 |
|
nfre1 |
|
6 |
4 5
|
nfim |
|
7 |
|
chel |
|
8 |
7
|
adantrr |
|
9 |
8
|
adantrr |
|
10 |
|
simprlr |
|
11 |
|
h1dn0 |
|
12 |
7 11
|
sylan |
|
13 |
12
|
anasss |
|
14 |
13
|
adantrr |
|
15 |
|
ch1dle |
|
16 |
|
snssi |
|
17 |
|
occl |
|
18 |
7 16 17
|
3syl |
|
19 |
|
choccl |
|
20 |
|
sseq1 |
|
21 |
|
eqeq1 |
|
22 |
|
eqeq1 |
|
23 |
21 22
|
orbi12d |
|
24 |
20 23
|
imbi12d |
|
25 |
24
|
rspcv |
|
26 |
18 19 25
|
3syl |
|
27 |
15 26
|
mpid |
|
28 |
27
|
impr |
|
29 |
28
|
adantrlr |
|
30 |
29
|
ord |
|
31 |
|
nne |
|
32 |
30 31
|
syl6ibr |
|
33 |
14 32
|
mt4d |
|
34 |
33
|
eqcomd |
|
35 |
|
rspe |
|
36 |
9 10 34 35
|
syl12anc |
|
37 |
36
|
exp44 |
|
38 |
3 6 37
|
rexlimd |
|
39 |
2 38
|
sylbid |
|
40 |
39
|
imp32 |
|
41 |
1 40
|
sylbi |
|
42 |
|
h1da |
|
43 |
|
eleq1 |
|
44 |
42 43
|
syl5ibr |
|
45 |
44
|
expdcom |
|
46 |
45
|
impd |
|
47 |
46
|
rexlimiv |
|
48 |
41 47
|
impbii |
|
49 |
|
spansn |
|
50 |
49
|
eqeq2d |
|
51 |
50
|
anbi2d |
|
52 |
51
|
rexbiia |
|
53 |
48 52
|
bitr4i |
|