Step |
Hyp |
Ref |
Expression |
1 |
|
hgt750lemc.n |
|
2 |
|
hgt750lemd.0 |
|
3 |
|
fzfid |
|
4 |
|
diffi |
|
5 |
3 4
|
syl |
|
6 |
|
vmaf |
|
7 |
6
|
a1i |
|
8 |
|
fz1ssnn |
|
9 |
8
|
a1i |
|
10 |
9
|
ssdifssd |
|
11 |
10
|
sselda |
|
12 |
7 11
|
ffvelrnd |
|
13 |
5 12
|
fsumrecl |
|
14 |
|
2rp |
|
15 |
14
|
a1i |
|
16 |
15
|
relogcld |
|
17 |
|
1nn0 |
|
18 |
|
4re |
|
19 |
|
2re |
|
20 |
|
6re |
|
21 |
20 19
|
pm3.2i |
|
22 |
|
dp2cl |
|
23 |
21 22
|
ax-mp |
|
24 |
19 23
|
pm3.2i |
|
25 |
|
dp2cl |
|
26 |
24 25
|
ax-mp |
|
27 |
18 26
|
pm3.2i |
|
28 |
|
dp2cl |
|
29 |
27 28
|
ax-mp |
|
30 |
|
dpcl |
|
31 |
17 29 30
|
mp2an |
|
32 |
31
|
a1i |
|
33 |
1
|
nnred |
|
34 |
1
|
nnrpd |
|
35 |
34
|
rpge0d |
|
36 |
33 35
|
resqrtcld |
|
37 |
32 36
|
remulcld |
|
38 |
|
0nn0 |
|
39 |
|
0re |
|
40 |
|
1re |
|
41 |
39 40
|
pm3.2i |
|
42 |
|
dp2cl |
|
43 |
41 42
|
ax-mp |
|
44 |
39 43
|
pm3.2i |
|
45 |
|
dp2cl |
|
46 |
44 45
|
ax-mp |
|
47 |
39 46
|
pm3.2i |
|
48 |
|
dp2cl |
|
49 |
47 48
|
ax-mp |
|
50 |
|
dpcl |
|
51 |
38 49 50
|
mp2an |
|
52 |
51
|
a1i |
|
53 |
52 36
|
remulcld |
|
54 |
1
|
nnzd |
|
55 |
|
chpvalz |
|
56 |
54 55
|
syl |
|
57 |
|
chtvalz |
|
58 |
54 57
|
syl |
|
59 |
|
inss2 |
|
60 |
59
|
a1i |
|
61 |
60
|
sselda |
|
62 |
|
vmaprm |
|
63 |
61 62
|
syl |
|
64 |
63
|
sumeq2dv |
|
65 |
58 64
|
eqtr4d |
|
66 |
56 65
|
oveq12d |
|
67 |
|
infi |
|
68 |
3 67
|
syl |
|
69 |
6
|
a1i |
|
70 |
|
inss1 |
|
71 |
70 8
|
sstri |
|
72 |
71
|
a1i |
|
73 |
72
|
sselda |
|
74 |
69 73
|
ffvelrnd |
|
75 |
74
|
recnd |
|
76 |
68 75
|
fsumcl |
|
77 |
12
|
recnd |
|
78 |
5 77
|
fsumcl |
|
79 |
|
inindif |
|
80 |
79
|
a1i |
|
81 |
|
inundif |
|
82 |
81
|
eqcomi |
|
83 |
82
|
a1i |
|
84 |
6
|
a1i |
|
85 |
9
|
sselda |
|
86 |
84 85
|
ffvelrnd |
|
87 |
86
|
recnd |
|
88 |
80 83 3 87
|
fsumsplit |
|
89 |
76 78 88
|
mvrladdd |
|
90 |
66 89
|
eqtr2d |
|
91 |
|
fveq2 |
|
92 |
|
fveq2 |
|
93 |
91 92
|
oveq12d |
|
94 |
|
fveq2 |
|
95 |
94
|
oveq2d |
|
96 |
93 95
|
breq12d |
|
97 |
|
ax-ros336 |
|
98 |
97
|
a1i |
|
99 |
96 98 34
|
rspcdva |
|
100 |
90 99
|
eqbrtrd |
|
101 |
40
|
a1i |
|
102 |
|
log2le1 |
|
103 |
102
|
a1i |
|
104 |
|
10nn0 |
|
105 |
|
7nn0 |
|
106 |
104 105
|
nn0expcli |
|
107 |
106
|
nn0rei |
|
108 |
107
|
a1i |
|
109 |
52 108
|
remulcld |
|
110 |
104
|
nn0rei |
|
111 |
|
0z |
|
112 |
|
3z |
|
113 |
110 111 112
|
3pm3.2i |
|
114 |
|
1lt10 |
|
115 |
|
3pos |
|
116 |
114 115
|
pm3.2i |
|
117 |
|
ltexp2a |
|
118 |
113 116 117
|
mp2an |
|
119 |
104
|
numexp0 |
|
120 |
119
|
eqcomi |
|
121 |
110
|
recni |
|
122 |
|
10pos |
|
123 |
39 122
|
gtneii |
|
124 |
|
4z |
|
125 |
|
expm1 |
|
126 |
121 123 124 125
|
mp3an |
|
127 |
|
4m1e3 |
|
128 |
127
|
oveq2i |
|
129 |
|
4nn0 |
|
130 |
104 129
|
nn0expcli |
|
131 |
130
|
nn0cni |
|
132 |
|
divrec2 |
|
133 |
131 121 123 132
|
mp3an |
|
134 |
126 128 133
|
3eqtr3ri |
|
135 |
118 120 134
|
3brtr4i |
|
136 |
|
1rp |
|
137 |
136
|
dp0h |
|
138 |
137
|
oveq1i |
|
139 |
135 138
|
breqtrri |
|
140 |
139
|
a1i |
|
141 |
|
4p1e5 |
|
142 |
|
5nn0 |
|
143 |
142
|
nn0zi |
|
144 |
38 136 141 124 143
|
dpexpp1 |
|
145 |
38 136
|
rpdp2cl |
|
146 |
|
5p1e6 |
|
147 |
|
6nn0 |
|
148 |
147
|
nn0zi |
|
149 |
38 145 146 143 148
|
dpexpp1 |
|
150 |
38 145
|
rpdp2cl |
|
151 |
|
6p1e7 |
|
152 |
105
|
nn0zi |
|
153 |
38 150 151 148 152
|
dpexpp1 |
|
154 |
144 149 153
|
3eqtrri |
|
155 |
140 154
|
breqtrrdi |
|
156 |
38 150
|
rpdp2cl |
|
157 |
38 156
|
rpdpcl |
|
158 |
157
|
a1i |
|
159 |
|
2nn0 |
|
160 |
159 105
|
deccl |
|
161 |
104 160
|
nn0expcli |
|
162 |
161
|
nn0rei |
|
163 |
162
|
a1i |
|
164 |
161
|
nn0ge0i |
|
165 |
164
|
a1i |
|
166 |
163 165
|
resqrtcld |
|
167 |
|
expmul |
|
168 |
121 105 159 167
|
mp3an |
|
169 |
|
7t2e14 |
|
170 |
169
|
oveq2i |
|
171 |
168 170
|
eqtr3i |
|
172 |
171
|
fveq2i |
|
173 |
|
expgt0 |
|
174 |
110 152 122 173
|
mp3an |
|
175 |
39 107 174
|
ltleii |
|
176 |
|
sqrtsq |
|
177 |
107 175 176
|
mp2an |
|
178 |
172 177
|
eqtr3i |
|
179 |
17 129
|
deccl |
|
180 |
179
|
nn0zi |
|
181 |
160
|
nn0zi |
|
182 |
110 180 181
|
3pm3.2i |
|
183 |
|
4lt10 |
|
184 |
|
1lt2 |
|
185 |
17 159 129 105 183 184
|
decltc |
|
186 |
114 185
|
pm3.2i |
|
187 |
|
ltexp2a |
|
188 |
182 186 187
|
mp2an |
|
189 |
104 179
|
nn0expcli |
|
190 |
189
|
nn0rei |
|
191 |
|
expgt0 |
|
192 |
110 180 122 191
|
mp3an |
|
193 |
39 190 192
|
ltleii |
|
194 |
190 193
|
pm3.2i |
|
195 |
162 164
|
pm3.2i |
|
196 |
|
sqrtlt |
|
197 |
194 195 196
|
mp2an |
|
198 |
188 197
|
mpbi |
|
199 |
178 198
|
eqbrtrri |
|
200 |
199
|
a1i |
|
201 |
163 165 33 35
|
sqrtled |
|
202 |
2 201
|
mpbid |
|
203 |
108 166 36 200 202
|
ltletrd |
|
204 |
108 36 158 203
|
ltmul2dd |
|
205 |
101 109 53 155 204
|
lttrd |
|
206 |
16 101 53 103 205
|
lttrd |
|
207 |
13 16 37 53 100 206
|
lt2addd |
|
208 |
|
nfv |
|
209 |
|
nfcv |
|
210 |
|
2prm |
|
211 |
210
|
a1i |
|
212 |
|
elndif |
|
213 |
211 212
|
syl |
|
214 |
|
fveq2 |
|
215 |
|
vmaprm |
|
216 |
210 215
|
ax-mp |
|
217 |
214 216
|
eqtrdi |
|
218 |
|
2cnd |
|
219 |
|
2ne0 |
|
220 |
219
|
a1i |
|
221 |
218 220
|
logcld |
|
222 |
208 209 5 211 213 77 217 221
|
fsumsplitsn |
|
223 |
147 14
|
rpdp2cl |
|
224 |
159 223
|
rpdp2cl |
|
225 |
|
3rp |
|
226 |
147 225
|
rpdp2cl |
|
227 |
159 226
|
rpdp2cl |
|
228 |
|
1p0e1 |
|
229 |
|
4cn |
|
230 |
229
|
addid1i |
|
231 |
|
2cn |
|
232 |
231
|
addid1i |
|
233 |
|
3nn0 |
|
234 |
|
eqid |
|
235 |
|
eqid |
|
236 |
|
6cn |
|
237 |
236
|
addid1i |
|
238 |
|
2p1e3 |
|
239 |
147 159 38 17 234 235 237 238
|
decadd |
|
240 |
147 159 38 17 147 233 239
|
dpadd |
|
241 |
147 14 38 136 147 225 159 38 232 240
|
dpadd2 |
|
242 |
159 223 38 145 159 226 129 38 230 241
|
dpadd2 |
|
243 |
129 224 38 150 129 227 17 38 228 242
|
dpadd2 |
|
244 |
243
|
oveq1i |
|
245 |
32
|
recnd |
|
246 |
52
|
recnd |
|
247 |
36
|
recnd |
|
248 |
245 246 247
|
adddird |
|
249 |
244 248
|
syl5eqr |
|
250 |
207 222 249
|
3brtr4d |
|