Step |
Hyp |
Ref |
Expression |
1 |
|
sxbrsiga.0 |
|
2 |
|
dya2ioc.1 |
|
3 |
|
ovex |
|
4 |
2 3
|
elrnmpo |
|
5 |
|
simpr |
|
6 |
|
mnfxr |
|
7 |
6
|
a1i |
|
8 |
|
simpl |
|
9 |
8
|
zred |
|
10 |
|
2rp |
|
11 |
10
|
a1i |
|
12 |
|
simpr |
|
13 |
11 12
|
rpexpcld |
|
14 |
9 13
|
rerpdivcld |
|
15 |
14
|
rexrd |
|
16 |
|
1red |
|
17 |
9 16
|
readdcld |
|
18 |
17 13
|
rerpdivcld |
|
19 |
18
|
rexrd |
|
20 |
|
mnflt |
|
21 |
14 20
|
syl |
|
22 |
|
difioo |
|
23 |
7 15 19 21 22
|
syl31anc |
|
24 |
|
brsigarn |
|
25 |
|
elrnsiga |
|
26 |
24 25
|
ax-mp |
|
27 |
|
retop |
|
28 |
|
iooretop |
|
29 |
|
elsigagen |
|
30 |
27 28 29
|
mp2an |
|
31 |
|
df-brsiga |
|
32 |
30 31
|
eleqtrri |
|
33 |
|
iooretop |
|
34 |
|
elsigagen |
|
35 |
27 33 34
|
mp2an |
|
36 |
35 31
|
eleqtrri |
|
37 |
|
difelsiga |
|
38 |
26 32 36 37
|
mp3an |
|
39 |
23 38
|
eqeltrrdi |
|
40 |
39
|
adantr |
|
41 |
5 40
|
eqeltrd |
|
42 |
41
|
ex |
|
43 |
42
|
rexlimivv |
|
44 |
4 43
|
sylbi |
|
45 |
44
|
ssriv |
|