Step |
Hyp |
Ref |
Expression |
1 |
|
pthd.p |
|
2 |
|
pthd.r |
|
3 |
|
pthd.s |
|
4 |
|
wrdf |
|
5 |
1 4
|
syl |
|
6 |
|
fzo0ss1 |
|
7 |
2
|
a1i |
|
8 |
7
|
oveq2d |
|
9 |
6 8
|
sseqtrid |
|
10 |
|
lencl |
|
11 |
|
nn0z |
|
12 |
|
fzossrbm1 |
|
13 |
1 10 11 12
|
4syl |
|
14 |
9 13
|
sstrd |
|
15 |
5 14
|
fssresd |
|
16 |
15
|
adantr |
|
17 |
3
|
adantr |
|
18 |
1 10
|
syl |
|
19 |
|
nn0re |
|
20 |
19
|
ltm1d |
|
21 |
|
1re |
|
22 |
|
peano2rem |
|
23 |
19 22
|
syl |
|
24 |
|
lttr |
|
25 |
21 23 19 24
|
mp3an2i |
|
26 |
|
1red |
|
27 |
|
ltle |
|
28 |
26 19 27
|
syl2anc |
|
29 |
25 28
|
syld |
|
30 |
20 29
|
mpan2d |
|
31 |
30
|
imdistani |
|
32 |
|
elnnnn0c |
|
33 |
31 32
|
sylibr |
|
34 |
18 33
|
sylan |
|
35 |
|
fzo0sn0fzo1 |
|
36 |
34 35
|
syl |
|
37 |
|
1zzd |
|
38 |
|
1p1e2 |
|
39 |
|
2z |
|
40 |
38 39
|
eqeltri |
|
41 |
40
|
a1i |
|
42 |
11
|
adantr |
|
43 |
|
ltaddsub |
|
44 |
43
|
bicomd |
|
45 |
21 26 19 44
|
mp3an2i |
|
46 |
|
2re |
|
47 |
38 46
|
eqeltri |
|
48 |
|
ltle |
|
49 |
47 19 48
|
sylancr |
|
50 |
45 49
|
sylbid |
|
51 |
50
|
imp |
|
52 |
|
eluz2 |
|
53 |
41 42 51 52
|
syl3anbrc |
|
54 |
18 53
|
sylan |
|
55 |
|
fzosplitsnm1 |
|
56 |
37 54 55
|
syl2anc |
|
57 |
56
|
uneq2d |
|
58 |
36 57
|
eqtrd |
|
59 |
58
|
raleqdv |
|
60 |
|
ralunb |
|
61 |
|
ralunb |
|
62 |
61
|
anbi2i |
|
63 |
60 62
|
bitri |
|
64 |
59 63
|
bitrdi |
|
65 |
2
|
eqcomi |
|
66 |
65
|
oveq2i |
|
67 |
66
|
raleqi |
|
68 |
|
fvres |
|
69 |
68
|
eqcomd |
|
70 |
69
|
adantl |
|
71 |
70
|
adantr |
|
72 |
|
fvres |
|
73 |
72
|
eqcomd |
|
74 |
73
|
adantl |
|
75 |
71 74
|
neeq12d |
|
76 |
75
|
biimpd |
|
77 |
76
|
imim2d |
|
78 |
77
|
ralimdva |
|
79 |
78
|
ralimdva |
|
80 |
67 79
|
biimtrid |
|
81 |
80
|
adantrd |
|
82 |
81
|
adantld |
|
83 |
64 82
|
sylbid |
|
84 |
17 83
|
mpd |
|
85 |
|
dff14a |
|
86 |
16 84 85
|
sylanbrc |
|
87 |
|
df-f1 |
|
88 |
86 87
|
sylib |
|
89 |
88
|
simprd |
|
90 |
|
funcnv0 |
|
91 |
18
|
nn0zd |
|
92 |
|
peano2zm |
|
93 |
91 92
|
syl |
|
94 |
93
|
zred |
|
95 |
|
1red |
|
96 |
94 95
|
lenltd |
|
97 |
96
|
biimpar |
|
98 |
2 97
|
eqbrtrid |
|
99 |
|
1zzd |
|
100 |
2 93
|
eqeltrid |
|
101 |
99 100
|
jca |
|
102 |
101
|
adantr |
|
103 |
|
fzon |
|
104 |
103
|
bicomd |
|
105 |
102 104
|
syl |
|
106 |
98 105
|
mpbird |
|
107 |
106
|
reseq2d |
|
108 |
|
res0 |
|
109 |
107 108
|
eqtrdi |
|
110 |
109
|
cnveqd |
|
111 |
110
|
funeqd |
|
112 |
90 111
|
mpbiri |
|
113 |
89 112
|
pm2.61dan |
|