Step |
Hyp |
Ref |
Expression |
1 |
|
iccpartgtprec.m |
|
2 |
|
iccpartgtprec.p |
|
3 |
|
lbfzo0 |
|
4 |
1 3
|
sylibr |
|
5 |
|
iccpartimp |
|
6 |
1 2 4 5
|
syl3anc |
|
7 |
6
|
simprd |
|
8 |
7
|
adantl |
|
9 |
|
fveq2 |
|
10 |
|
1e0p1 |
|
11 |
10
|
fveq2i |
|
12 |
9 11
|
eqtrdi |
|
13 |
12
|
adantr |
|
14 |
8 13
|
breqtrrd |
|
15 |
14
|
ex |
|
16 |
1 2
|
iccpartiltu |
|
17 |
1 2
|
iccpartigtl |
|
18 |
|
1nn |
|
19 |
18
|
a1i |
|
20 |
1
|
adantr |
|
21 |
|
df-ne |
|
22 |
1
|
nnge1d |
|
23 |
|
1red |
|
24 |
1
|
nnred |
|
25 |
23 24
|
ltlend |
|
26 |
25
|
biimprd |
|
27 |
22 26
|
mpand |
|
28 |
21 27
|
syl5bir |
|
29 |
28
|
imp |
|
30 |
|
elfzo1 |
|
31 |
19 20 29 30
|
syl3anbrc |
|
32 |
|
fveq2 |
|
33 |
32
|
breq2d |
|
34 |
33
|
rspcv |
|
35 |
31 34
|
syl |
|
36 |
32
|
breq1d |
|
37 |
36
|
rspcv |
|
38 |
31 37
|
syl |
|
39 |
|
nnnn0 |
|
40 |
|
0elfz |
|
41 |
1 39 40
|
3syl |
|
42 |
1 2 41
|
iccpartxr |
|
43 |
42
|
adantr |
|
44 |
2
|
adantr |
|
45 |
|
1nn0 |
|
46 |
45
|
a1i |
|
47 |
1 39
|
syl |
|
48 |
47
|
adantr |
|
49 |
22
|
adantr |
|
50 |
|
elfz2nn0 |
|
51 |
46 48 49 50
|
syl3anbrc |
|
52 |
20 44 51
|
iccpartxr |
|
53 |
|
nn0fz0 |
|
54 |
39 53
|
sylib |
|
55 |
1 54
|
syl |
|
56 |
1 2 55
|
iccpartxr |
|
57 |
56
|
adantr |
|
58 |
|
xrlttr |
|
59 |
43 52 57 58
|
syl3anc |
|
60 |
59
|
expcomd |
|
61 |
38 60
|
syld |
|
62 |
61
|
com23 |
|
63 |
35 62
|
syld |
|
64 |
63
|
ex |
|
65 |
64
|
com24 |
|
66 |
16 17 65
|
mp2d |
|
67 |
66
|
com12 |
|
68 |
15 67
|
pm2.61i |
|