Step |
Hyp |
Ref |
Expression |
1 |
|
s2len |
|
2 |
1
|
oveq2i |
|
3 |
|
1re |
|
4 |
|
2rp |
|
5 |
|
0le1 |
|
6 |
|
1lt2 |
|
7 |
|
modid |
|
8 |
3 4 5 6 7
|
mp4an |
|
9 |
2 8
|
eqtri |
|
10 |
9 1
|
opeq12i |
|
11 |
10
|
oveq2i |
|
12 |
|
s2cl |
|
13 |
|
tpid2g |
|
14 |
3 13
|
ax-mp |
|
15 |
|
fz0tp |
|
16 |
14 15
|
eleqtrri |
|
17 |
|
tpid3g |
|
18 |
4 17
|
ax-mp |
|
19 |
18 15
|
eleqtrri |
|
20 |
1
|
oveq2i |
|
21 |
19 20
|
eleqtrri |
|
22 |
|
swrdval2 |
|
23 |
16 21 22
|
mp3an23 |
|
24 |
12 23
|
syl |
|
25 |
|
2m1e1 |
|
26 |
25
|
oveq2i |
|
27 |
|
fzo01 |
|
28 |
26 27
|
eqtri |
|
29 |
28
|
a1i |
|
30 |
|
simpr |
|
31 |
30 28
|
eleqtrdi |
|
32 |
|
elsni |
|
33 |
31 32
|
syl |
|
34 |
33
|
oveq1d |
|
35 |
|
0p1e1 |
|
36 |
34 35
|
eqtrdi |
|
37 |
36
|
fveq2d |
|
38 |
|
s2fv1 |
|
39 |
38
|
ad2antlr |
|
40 |
37 39
|
eqtrd |
|
41 |
29 40
|
mpteq12dva |
|
42 |
|
fconstmpt |
|
43 |
|
0nn0 |
|
44 |
|
simpr |
|
45 |
|
xpsng |
|
46 |
43 44 45
|
sylancr |
|
47 |
|
s1val |
|
48 |
47
|
adantl |
|
49 |
46 48
|
eqtr4d |
|
50 |
42 49
|
eqtr3id |
|
51 |
24 41 50
|
3eqtrd |
|
52 |
11 51
|
syl5eq |
|
53 |
9
|
oveq2i |
|
54 |
|
pfx1s2 |
|
55 |
53 54
|
syl5eq |
|
56 |
52 55
|
oveq12d |
|
57 |
|
1z |
|
58 |
|
cshword |
|
59 |
12 57 58
|
sylancl |
|
60 |
|
df-s2 |
|
61 |
60
|
a1i |
|
62 |
56 59 61
|
3eqtr4d |
|