Step |
Hyp |
Ref |
Expression |
1 |
|
h2hl.1 |
|
2 |
|
h2hl.2 |
|
3 |
|
h2hl.3 |
|
4 |
|
h2hl.4 |
|
5 |
|
h2hl.5 |
|
6 |
|
df-hlim |
|
7 |
6
|
relopabi |
|
8 |
|
relres |
|
9 |
6
|
eleq2i |
|
10 |
|
opabidw |
|
11 |
3
|
hlex |
|
12 |
|
nnex |
|
13 |
11 12
|
elmap |
|
14 |
13
|
anbi1i |
|
15 |
|
df-br |
|
16 |
3 4
|
imsxmet |
|
17 |
2 16
|
mp1i |
|
18 |
|
nnuz |
|
19 |
|
1zzd |
|
20 |
|
eqidd |
|
21 |
|
id |
|
22 |
5 17 18 19 20 21
|
lmmbrf |
|
23 |
|
eluznn |
|
24 |
|
ffvelrn |
|
25 |
1 2 3 4
|
h2hmetdval |
|
26 |
24 25
|
sylan |
|
27 |
26
|
breq1d |
|
28 |
27
|
an32s |
|
29 |
23 28
|
sylan2 |
|
30 |
29
|
anassrs |
|
31 |
30
|
ralbidva |
|
32 |
31
|
rexbidva |
|
33 |
32
|
ralbidv |
|
34 |
33
|
pm5.32da |
|
35 |
22 34
|
bitrd |
|
36 |
15 35
|
bitr3id |
|
37 |
36
|
pm5.32i |
|
38 |
14 37
|
bitr2i |
|
39 |
|
anass |
|
40 |
|
opelres |
|
41 |
40
|
elv |
|
42 |
38 39 41
|
3bitr4i |
|
43 |
9 10 42
|
3bitri |
|
44 |
7 8 43
|
eqrelriiv |
|