Step |
Hyp |
Ref |
Expression |
1 |
|
fzisoeu.h |
|
2 |
|
fzisoeu.or |
|
3 |
|
fzisoeu.m |
|
4 |
|
fzisoeu.4 |
|
5 |
|
fzssz |
|
6 |
|
zssre |
|
7 |
5 6
|
sstri |
|
8 |
|
ltso |
|
9 |
|
soss |
|
10 |
7 8 9
|
mp2 |
|
11 |
|
fzfi |
|
12 |
|
fz1iso |
|
13 |
10 11 12
|
mp2an |
|
14 |
|
fveq2 |
|
15 |
|
hash0 |
|
16 |
14 15
|
eqtrdi |
|
17 |
16
|
oveq1d |
|
18 |
4 17
|
eqtrid |
|
19 |
18
|
oveq2d |
|
20 |
19
|
adantl |
|
21 |
3
|
zcnd |
|
22 |
|
1cnd |
|
23 |
21 22
|
subcld |
|
24 |
23
|
addid2d |
|
25 |
24
|
oveq2d |
|
26 |
3
|
zred |
|
27 |
26
|
ltm1d |
|
28 |
|
peano2zm |
|
29 |
3 28
|
syl |
|
30 |
|
fzn |
|
31 |
3 29 30
|
syl2anc |
|
32 |
27 31
|
mpbid |
|
33 |
25 32
|
eqtrd |
|
34 |
33
|
adantr |
|
35 |
|
eqcom |
|
36 |
35
|
biimpi |
|
37 |
36
|
adantl |
|
38 |
20 34 37
|
3eqtrd |
|
39 |
38
|
fveq2d |
|
40 |
22 21
|
pncan3d |
|
41 |
40
|
eqcomd |
|
42 |
41
|
adantr |
|
43 |
|
1red |
|
44 |
|
neqne |
|
45 |
44
|
adantl |
|
46 |
1
|
adantr |
|
47 |
|
hashnncl |
|
48 |
46 47
|
syl |
|
49 |
45 48
|
mpbird |
|
50 |
49
|
nnred |
|
51 |
29
|
zred |
|
52 |
51
|
adantr |
|
53 |
49
|
nnge1d |
|
54 |
43 50 52 53
|
leadd1dd |
|
55 |
54 4
|
breqtrrdi |
|
56 |
42 55
|
eqbrtrd |
|
57 |
3
|
adantr |
|
58 |
|
hashcl |
|
59 |
|
nn0z |
|
60 |
1 58 59
|
3syl |
|
61 |
60 29
|
zaddcld |
|
62 |
4 61
|
eqeltrid |
|
63 |
62
|
adantr |
|
64 |
|
eluz |
|
65 |
57 63 64
|
syl2anc |
|
66 |
56 65
|
mpbird |
|
67 |
|
hashfz |
|
68 |
66 67
|
syl |
|
69 |
4
|
oveq1i |
|
70 |
1 58
|
syl |
|
71 |
70
|
nn0cnd |
|
72 |
71 23 21
|
addsubassd |
|
73 |
69 72
|
eqtrid |
|
74 |
22
|
negcld |
|
75 |
21 22
|
negsubd |
|
76 |
75
|
eqcomd |
|
77 |
21 74 76
|
mvrladdd |
|
78 |
77
|
oveq2d |
|
79 |
73 78
|
eqtrd |
|
80 |
79
|
oveq1d |
|
81 |
80
|
adantr |
|
82 |
71 22
|
negsubd |
|
83 |
82
|
oveq1d |
|
84 |
71 22
|
npcand |
|
85 |
83 84
|
eqtrd |
|
86 |
85
|
adantr |
|
87 |
68 81 86
|
3eqtrd |
|
88 |
39 87
|
pm2.61dan |
|
89 |
88
|
oveq2d |
|
90 |
|
isoeq4 |
|
91 |
89 90
|
syl |
|
92 |
91
|
biimpd |
|
93 |
92
|
eximdv |
|
94 |
13 93
|
mpi |
|
95 |
|
fz1iso |
|
96 |
2 1 95
|
syl2anc |
|
97 |
|
exdistrv |
|
98 |
94 96 97
|
sylanbrc |
|
99 |
|
isocnv |
|
100 |
99
|
ad2antrl |
|
101 |
|
simprr |
|
102 |
|
isotr |
|
103 |
100 101 102
|
syl2anc |
|
104 |
103
|
ex |
|
105 |
104
|
2eximdv |
|
106 |
98 105
|
mpd |
|
107 |
|
vex |
|
108 |
|
vex |
|
109 |
108
|
cnvex |
|
110 |
107 109
|
coex |
|
111 |
|
isoeq1 |
|
112 |
110 111
|
spcev |
|
113 |
112
|
a1i |
|
114 |
113
|
exlimdvv |
|
115 |
106 114
|
mpd |
|
116 |
|
ltwefz |
|
117 |
|
wemoiso |
|
118 |
116 117
|
mp1i |
|
119 |
|
df-eu |
|
120 |
115 118 119
|
sylanbrc |
|