Step |
Hyp |
Ref |
Expression |
1 |
|
iccpartgtprec.m |
|
2 |
|
iccpartgtprec.p |
|
3 |
|
nnnn0 |
|
4 |
|
elnn0uz |
|
5 |
3 4
|
sylib |
|
6 |
1 5
|
syl |
|
7 |
|
fzisfzounsn |
|
8 |
6 7
|
syl |
|
9 |
8
|
eleq2d |
|
10 |
|
elun |
|
11 |
10
|
a1i |
|
12 |
|
velsn |
|
13 |
12
|
a1i |
|
14 |
13
|
orbi2d |
|
15 |
9 11 14
|
3bitrd |
|
16 |
1
|
adantr |
|
17 |
2
|
adantr |
|
18 |
|
fzossfz |
|
19 |
18
|
a1i |
|
20 |
19
|
sselda |
|
21 |
16 17 20
|
iccpartxr |
|
22 |
|
nn0fz0 |
|
23 |
3 22
|
sylib |
|
24 |
1 23
|
syl |
|
25 |
1 2 24
|
iccpartxr |
|
26 |
25
|
adantr |
|
27 |
1 2
|
iccpartltu |
|
28 |
|
fveq2 |
|
29 |
28
|
breq1d |
|
30 |
29
|
rspccv |
|
31 |
27 30
|
syl |
|
32 |
31
|
imp |
|
33 |
21 26 32
|
xrltled |
|
34 |
33
|
expcom |
|
35 |
|
fveq2 |
|
36 |
35
|
adantr |
|
37 |
25
|
xrleidd |
|
38 |
37
|
adantl |
|
39 |
36 38
|
eqbrtrd |
|
40 |
39
|
ex |
|
41 |
34 40
|
jaoi |
|
42 |
41
|
com12 |
|
43 |
15 42
|
sylbid |
|
44 |
43
|
ralrimiv |
|