Step |
Hyp |
Ref |
Expression |
1 |
|
iseralt.1 |
|
2 |
|
iseralt.2 |
|
3 |
|
iseralt.3 |
|
4 |
|
iseralt.4 |
|
5 |
|
iseralt.5 |
|
6 |
|
iseralt.6 |
|
7 |
|
oveq2 |
|
8 |
|
2t0e0 |
|
9 |
7 8
|
eqtrdi |
|
10 |
9
|
oveq2d |
|
11 |
10
|
fveq2d |
|
12 |
11
|
oveq2d |
|
13 |
12
|
breq1d |
|
14 |
13
|
imbi2d |
|
15 |
|
oveq2 |
|
16 |
15
|
oveq2d |
|
17 |
16
|
fveq2d |
|
18 |
17
|
oveq2d |
|
19 |
18
|
breq1d |
|
20 |
19
|
imbi2d |
|
21 |
|
oveq2 |
|
22 |
21
|
oveq2d |
|
23 |
22
|
fveq2d |
|
24 |
23
|
oveq2d |
|
25 |
24
|
breq1d |
|
26 |
25
|
imbi2d |
|
27 |
|
oveq2 |
|
28 |
27
|
oveq2d |
|
29 |
28
|
fveq2d |
|
30 |
29
|
oveq2d |
|
31 |
30
|
breq1d |
|
32 |
31
|
imbi2d |
|
33 |
|
uzssz |
|
34 |
1 33
|
eqsstri |
|
35 |
34
|
a1i |
|
36 |
35
|
sselda |
|
37 |
36
|
zcnd |
|
38 |
37
|
addid1d |
|
39 |
38
|
fveq2d |
|
40 |
39
|
oveq2d |
|
41 |
|
neg1rr |
|
42 |
|
neg1ne0 |
|
43 |
|
reexpclz |
|
44 |
41 42 36 43
|
mp3an12i |
|
45 |
35
|
sselda |
|
46 |
|
reexpclz |
|
47 |
41 42 45 46
|
mp3an12i |
|
48 |
3
|
ffvelrnda |
|
49 |
47 48
|
remulcld |
|
50 |
6 49
|
eqeltrd |
|
51 |
1 2 50
|
serfre |
|
52 |
51
|
ffvelrnda |
|
53 |
44 52
|
remulcld |
|
54 |
53
|
leidd |
|
55 |
40 54
|
eqbrtrd |
|
56 |
3
|
ad2antrr |
|
57 |
|
ax-1cn |
|
58 |
57
|
2timesi |
|
59 |
58
|
oveq2i |
|
60 |
|
simpr |
|
61 |
60 1
|
eleqtrdi |
|
62 |
61
|
adantr |
|
63 |
|
eluzelz |
|
64 |
62 63
|
syl |
|
65 |
64
|
zcnd |
|
66 |
|
2cn |
|
67 |
|
nn0cn |
|
68 |
67
|
adantl |
|
69 |
|
mulcl |
|
70 |
66 68 69
|
sylancr |
|
71 |
66 57
|
mulcli |
|
72 |
71
|
a1i |
|
73 |
65 70 72
|
addassd |
|
74 |
59 73
|
syl5eqr |
|
75 |
|
2nn0 |
|
76 |
|
simpr |
|
77 |
|
nn0mulcl |
|
78 |
75 76 77
|
sylancr |
|
79 |
|
uzaddcl |
|
80 |
62 78 79
|
syl2anc |
|
81 |
33 80
|
sseldi |
|
82 |
81
|
zcnd |
|
83 |
|
1cnd |
|
84 |
82 83 83
|
addassd |
|
85 |
|
2cnd |
|
86 |
85 68 83
|
adddid |
|
87 |
86
|
oveq2d |
|
88 |
74 84 87
|
3eqtr4d |
|
89 |
|
peano2nn0 |
|
90 |
89
|
adantl |
|
91 |
|
nn0mulcl |
|
92 |
75 90 91
|
sylancr |
|
93 |
|
uzaddcl |
|
94 |
62 92 93
|
syl2anc |
|
95 |
94 1
|
eleqtrrdi |
|
96 |
88 95
|
eqeltrd |
|
97 |
56 96
|
ffvelrnd |
|
98 |
|
peano2uz |
|
99 |
80 98
|
syl |
|
100 |
99 1
|
eleqtrrdi |
|
101 |
56 100
|
ffvelrnd |
|
102 |
97 101
|
resubcld |
|
103 |
|
0red |
|
104 |
44
|
adantr |
|
105 |
51
|
ad2antrr |
|
106 |
80 1
|
eleqtrrdi |
|
107 |
105 106
|
ffvelrnd |
|
108 |
104 107
|
remulcld |
|
109 |
|
fvoveq1 |
|
110 |
|
fveq2 |
|
111 |
109 110
|
breq12d |
|
112 |
4
|
ralrimiva |
|
113 |
112
|
ad2antrr |
|
114 |
111 113 100
|
rspcdva |
|
115 |
97 101
|
suble0d |
|
116 |
114 115
|
mpbird |
|
117 |
102 103 108 116
|
leadd2dd |
|
118 |
|
seqp1 |
|
119 |
99 118
|
syl |
|
120 |
|
seqp1 |
|
121 |
80 120
|
syl |
|
122 |
121
|
oveq1d |
|
123 |
119 122
|
eqtrd |
|
124 |
88
|
fveq2d |
|
125 |
107
|
recnd |
|
126 |
|
fveq2 |
|
127 |
|
oveq2 |
|
128 |
127 110
|
oveq12d |
|
129 |
126 128
|
eqeq12d |
|
130 |
6
|
ralrimiva |
|
131 |
130
|
ad2antrr |
|
132 |
129 131 100
|
rspcdva |
|
133 |
|
neg1cn |
|
134 |
133
|
a1i |
|
135 |
42
|
a1i |
|
136 |
134 135 81
|
expp1zd |
|
137 |
41
|
a1i |
|
138 |
137 135 81
|
reexpclzd |
|
139 |
138
|
recnd |
|
140 |
|
mulcom |
|
141 |
139 133 140
|
sylancl |
|
142 |
139
|
mulm1d |
|
143 |
136 141 142
|
3eqtrd |
|
144 |
143
|
oveq1d |
|
145 |
101
|
recnd |
|
146 |
|
mulneg12 |
|
147 |
139 145 146
|
syl2anc |
|
148 |
132 144 147
|
3eqtrd |
|
149 |
101
|
renegcld |
|
150 |
138 149
|
remulcld |
|
151 |
148 150
|
eqeltrd |
|
152 |
151
|
recnd |
|
153 |
|
fveq2 |
|
154 |
|
oveq2 |
|
155 |
|
fveq2 |
|
156 |
154 155
|
oveq12d |
|
157 |
153 156
|
eqeq12d |
|
158 |
157 131 96
|
rspcdva |
|
159 |
81
|
peano2zd |
|
160 |
134 135 159
|
expp1zd |
|
161 |
143
|
oveq1d |
|
162 |
|
mul2neg |
|
163 |
139 57 162
|
sylancl |
|
164 |
139
|
mulid1d |
|
165 |
163 164
|
eqtrd |
|
166 |
160 161 165
|
3eqtrd |
|
167 |
166
|
oveq1d |
|
168 |
158 167
|
eqtrd |
|
169 |
138 97
|
remulcld |
|
170 |
168 169
|
eqeltrd |
|
171 |
170
|
recnd |
|
172 |
125 152 171
|
addassd |
|
173 |
123 124 172
|
3eqtr3d |
|
174 |
173
|
oveq2d |
|
175 |
104
|
recnd |
|
176 |
151 170
|
readdcld |
|
177 |
176
|
recnd |
|
178 |
175 125 177
|
adddid |
|
179 |
175 152 171
|
adddid |
|
180 |
148
|
oveq2d |
|
181 |
149
|
recnd |
|
182 |
175 139 181
|
mulassd |
|
183 |
180 182
|
eqtr4d |
|
184 |
85 65 68
|
adddid |
|
185 |
65
|
2timesd |
|
186 |
185
|
oveq1d |
|
187 |
65 65 70
|
addassd |
|
188 |
184 186 187
|
3eqtrrd |
|
189 |
188
|
oveq2d |
|
190 |
|
expaddz |
|
191 |
134 135 64 81 190
|
syl22anc |
|
192 |
|
2z |
|
193 |
192
|
a1i |
|
194 |
|
nn0z |
|
195 |
|
zaddcl |
|
196 |
36 194 195
|
syl2an |
|
197 |
|
expmulz |
|
198 |
134 135 193 196 197
|
syl22anc |
|
199 |
|
neg1sqe1 |
|
200 |
199
|
oveq1i |
|
201 |
|
1exp |
|
202 |
196 201
|
syl |
|
203 |
200 202
|
syl5eq |
|
204 |
198 203
|
eqtrd |
|
205 |
189 191 204
|
3eqtr3d |
|
206 |
205
|
oveq1d |
|
207 |
181
|
mulid2d |
|
208 |
183 206 207
|
3eqtrd |
|
209 |
168
|
oveq2d |
|
210 |
97
|
recnd |
|
211 |
175 139 210
|
mulassd |
|
212 |
209 211
|
eqtr4d |
|
213 |
205
|
oveq1d |
|
214 |
210
|
mulid2d |
|
215 |
212 213 214
|
3eqtrd |
|
216 |
208 215
|
oveq12d |
|
217 |
145
|
negcld |
|
218 |
217 210
|
addcomd |
|
219 |
210 145
|
negsubd |
|
220 |
218 219
|
eqtrd |
|
221 |
179 216 220
|
3eqtrd |
|
222 |
221
|
oveq2d |
|
223 |
174 178 222
|
3eqtrrd |
|
224 |
108
|
recnd |
|
225 |
224
|
addid1d |
|
226 |
117 223 225
|
3brtr3d |
|
227 |
105 95
|
ffvelrnd |
|
228 |
104 227
|
remulcld |
|
229 |
53
|
adantr |
|
230 |
|
letr |
|
231 |
228 108 229 230
|
syl3anc |
|
232 |
226 231
|
mpand |
|
233 |
232
|
expcom |
|
234 |
233
|
a2d |
|
235 |
14 20 26 32 55 234
|
nn0ind |
|
236 |
235
|
com12 |
|
237 |
236
|
3impia |
|