Step |
Hyp |
Ref |
Expression |
1 |
|
stoweidlem3.1 |
|
2 |
|
stoweidlem3.2 |
|
3 |
|
stoweidlem3.3 |
|
4 |
|
stoweidlem3.4 |
|
5 |
|
stoweidlem3.5 |
|
6 |
|
stoweidlem3.6 |
|
7 |
|
stoweidlem3.7 |
|
8 |
|
elnnuz |
|
9 |
4 8
|
sylib |
|
10 |
|
eluzfz2 |
|
11 |
9 10
|
syl |
|
12 |
|
oveq2 |
|
13 |
|
fveq2 |
|
14 |
12 13
|
breq12d |
|
15 |
14
|
imbi2d |
|
16 |
|
oveq2 |
|
17 |
|
fveq2 |
|
18 |
16 17
|
breq12d |
|
19 |
18
|
imbi2d |
|
20 |
|
oveq2 |
|
21 |
|
fveq2 |
|
22 |
20 21
|
breq12d |
|
23 |
22
|
imbi2d |
|
24 |
|
oveq2 |
|
25 |
|
fveq2 |
|
26 |
24 25
|
breq12d |
|
27 |
26
|
imbi2d |
|
28 |
|
1zzd |
|
29 |
4
|
nnzd |
|
30 |
28 29 28
|
3jca |
|
31 |
|
1le1 |
|
32 |
31
|
a1i |
|
33 |
4
|
nnge1d |
|
34 |
30 32 33
|
jca32 |
|
35 |
|
elfz2 |
|
36 |
34 35
|
sylibr |
|
37 |
36
|
ancli |
|
38 |
|
nfv |
|
39 |
2 38
|
nfan |
|
40 |
|
nfcv |
|
41 |
|
nfcv |
|
42 |
|
nfcv |
|
43 |
1 42
|
nffv |
|
44 |
40 41 43
|
nfbr |
|
45 |
39 44
|
nfim |
|
46 |
|
eleq1 |
|
47 |
46
|
anbi2d |
|
48 |
|
fveq2 |
|
49 |
48
|
breq2d |
|
50 |
47 49
|
imbi12d |
|
51 |
45 50 6
|
vtoclg1f |
|
52 |
36 37 51
|
sylc |
|
53 |
7
|
rpcnd |
|
54 |
53
|
exp1d |
|
55 |
3
|
fveq1i |
|
56 |
|
1z |
|
57 |
|
seq1 |
|
58 |
56 57
|
ax-mp |
|
59 |
55 58
|
eqtri |
|
60 |
59
|
a1i |
|
61 |
52 54 60
|
3brtr4d |
|
62 |
61
|
a1i |
|
63 |
7
|
3ad2ant3 |
|
64 |
63
|
rpred |
|
65 |
|
elfzouz |
|
66 |
|
elnnuz |
|
67 |
|
nnnn0 |
|
68 |
66 67
|
sylbir |
|
69 |
65 68
|
syl |
|
70 |
69
|
3ad2ant1 |
|
71 |
64 70
|
reexpcld |
|
72 |
3
|
fveq1i |
|
73 |
65
|
adantr |
|
74 |
|
nfv |
|
75 |
74 2
|
nfan |
|
76 |
|
nfv |
|
77 |
75 76
|
nfan |
|
78 |
|
nfcv |
|
79 |
1 78
|
nffv |
|
80 |
79
|
nfel1 |
|
81 |
77 80
|
nfim |
|
82 |
|
eleq1 |
|
83 |
82
|
anbi2d |
|
84 |
|
fveq2 |
|
85 |
84
|
eleq1d |
|
86 |
83 85
|
imbi12d |
|
87 |
5
|
ad2antlr |
|
88 |
|
1zzd |
|
89 |
29
|
ad2antlr |
|
90 |
|
elfzelz |
|
91 |
90
|
adantl |
|
92 |
88 89 91
|
3jca |
|
93 |
|
elfzle1 |
|
94 |
93
|
adantl |
|
95 |
90
|
zred |
|
96 |
95
|
adantl |
|
97 |
|
elfzoelz |
|
98 |
97
|
zred |
|
99 |
98
|
ad2antrr |
|
100 |
4
|
nnred |
|
101 |
100
|
ad2antlr |
|
102 |
|
elfzle2 |
|
103 |
102
|
adantl |
|
104 |
|
elfzoel2 |
|
105 |
104
|
zred |
|
106 |
|
elfzolt2 |
|
107 |
98 105 106
|
ltled |
|
108 |
107
|
ad2antrr |
|
109 |
96 99 101 103 108
|
letrd |
|
110 |
92 94 109
|
jca32 |
|
111 |
|
elfz2 |
|
112 |
110 111
|
sylibr |
|
113 |
87 112
|
ffvelrnd |
|
114 |
81 86 113
|
chvarfv |
|
115 |
|
remulcl |
|
116 |
115
|
adantl |
|
117 |
73 114 116
|
seqcl |
|
118 |
72 117
|
eqeltrid |
|
119 |
118
|
3adant2 |
|
120 |
5
|
3ad2ant3 |
|
121 |
|
fzofzp1 |
|
122 |
121
|
3ad2ant1 |
|
123 |
120 122
|
ffvelrnd |
|
124 |
7
|
rpge0d |
|
125 |
124
|
3ad2ant3 |
|
126 |
64 70 125
|
expge0d |
|
127 |
|
simp3 |
|
128 |
|
simp2 |
|
129 |
127 128
|
mpd |
|
130 |
121
|
adantr |
|
131 |
|
simpr |
|
132 |
131 130
|
jca |
|
133 |
|
nfv |
|
134 |
2 133
|
nfan |
|
135 |
|
nfcv |
|
136 |
1 135
|
nffv |
|
137 |
40 41 136
|
nfbr |
|
138 |
134 137
|
nfim |
|
139 |
|
eleq1 |
|
140 |
139
|
anbi2d |
|
141 |
|
fveq2 |
|
142 |
141
|
breq2d |
|
143 |
140 142
|
imbi12d |
|
144 |
138 143 6
|
vtoclg1f |
|
145 |
130 132 144
|
sylc |
|
146 |
145
|
3adant2 |
|
147 |
71 119 64 123 126 129 125 146
|
ltmul12ad |
|
148 |
53
|
3ad2ant3 |
|
149 |
148 70
|
expp1d |
|
150 |
3
|
fveq1i |
|
151 |
150
|
a1i |
|
152 |
65
|
3ad2ant1 |
|
153 |
|
seqp1 |
|
154 |
152 153
|
syl |
|
155 |
72
|
a1i |
|
156 |
155
|
eqcomd |
|
157 |
156
|
oveq1d |
|
158 |
151 154 157
|
3eqtrd |
|
159 |
147 149 158
|
3brtr4d |
|
160 |
159
|
3exp |
|
161 |
15 19 23 27 62 160
|
fzind2 |
|
162 |
11 161
|
mpcom |
|