Step |
Hyp |
Ref |
Expression |
1 |
|
lnfncnbd |
|
2 |
|
elin |
|
3 |
|
fveq1 |
|
4 |
3
|
eqeq1d |
|
5 |
4
|
rexralbidv |
|
6 |
|
inss1 |
|
7 |
|
0lnfn |
|
8 |
|
0cnfn |
|
9 |
|
elin |
|
10 |
7 8 9
|
mpbir2an |
|
11 |
10
|
elimel |
|
12 |
6 11
|
sselii |
|
13 |
|
inss2 |
|
14 |
13 11
|
sselii |
|
15 |
12 14
|
riesz3i |
|
16 |
5 15
|
dedth |
|
17 |
2 16
|
sylbir |
|
18 |
17
|
ex |
|
19 |
|
normcl |
|
20 |
19
|
adantl |
|
21 |
|
fveq2 |
|
22 |
21
|
adantl |
|
23 |
|
bcs |
|
24 |
|
normcl |
|
25 |
|
recn |
|
26 |
|
recn |
|
27 |
|
mulcom |
|
28 |
25 26 27
|
syl2an |
|
29 |
24 19 28
|
syl2an |
|
30 |
23 29
|
breqtrd |
|
31 |
30
|
adantll |
|
32 |
31
|
adantr |
|
33 |
22 32
|
eqbrtrd |
|
34 |
33
|
ex |
|
35 |
34
|
an32s |
|
36 |
35
|
ralimdva |
|
37 |
|
oveq1 |
|
38 |
37
|
breq2d |
|
39 |
38
|
ralbidv |
|
40 |
39
|
rspcev |
|
41 |
20 36 40
|
syl6an |
|
42 |
41
|
rexlimdva |
|
43 |
|
lnfncon |
|
44 |
42 43
|
sylibrd |
|
45 |
18 44
|
impbid |
|
46 |
1 45
|
bitr3d |
|