Step |
Hyp |
Ref |
Expression |
1 |
|
ftc1cnnc.g |
|
2 |
|
ftc1cnnc.a |
|
3 |
|
ftc1cnnc.b |
|
4 |
|
ftc1cnnc.le |
|
5 |
|
ftc1cnnc.f |
|
6 |
|
ftc1cnnc.i |
|
7 |
|
ftc1cnnclem.c |
|
8 |
|
ftc1cnnclem.h |
|
9 |
|
ftc1cnnclem.e |
|
10 |
|
ftc1cnnclem.r |
|
11 |
|
ftc1cnnclem.fc |
|
12 |
|
ftc1cnnclem.x1 |
|
13 |
|
ftc1cnnclem.x2 |
|
14 |
|
ftc1cnnclem.y1 |
|
15 |
|
ftc1cnnclem.y2 |
|
16 |
|
ovexd |
|
17 |
2
|
rexrd |
|
18 |
3
|
rexrd |
|
19 |
|
elicc1 |
|
20 |
19
|
biimpa |
|
21 |
20
|
simp2d |
|
22 |
17 18 12 21
|
syl21anc |
|
23 |
|
iccleub |
|
24 |
17 18 14 23
|
syl3anc |
|
25 |
|
ioossioo |
|
26 |
17 18 22 24 25
|
syl22anc |
|
27 |
26
|
sselda |
|
28 |
|
cncff |
|
29 |
5 28
|
syl |
|
30 |
29
|
ffvelrnda |
|
31 |
27 30
|
syldan |
|
32 |
|
ioombl |
|
33 |
32
|
a1i |
|
34 |
|
fvexd |
|
35 |
29
|
feqmptd |
|
36 |
35 6
|
eqeltrrd |
|
37 |
26 33 34 36
|
iblss |
|
38 |
29 7
|
ffvelrnd |
|
39 |
38
|
adantr |
|
40 |
|
fconstmpt |
|
41 |
|
mblvol |
|
42 |
32 41
|
ax-mp |
|
43 |
|
ioossicc |
|
44 |
43
|
a1i |
|
45 |
|
iccssre |
|
46 |
2 3 45
|
syl2anc |
|
47 |
46 12
|
sseldd |
|
48 |
46 14
|
sseldd |
|
49 |
|
iccmbl |
|
50 |
47 48 49
|
syl2anc |
|
51 |
|
mblss |
|
52 |
50 51
|
syl |
|
53 |
|
mblvol |
|
54 |
50 53
|
syl |
|
55 |
|
iccvolcl |
|
56 |
47 48 55
|
syl2anc |
|
57 |
54 56
|
eqeltrrd |
|
58 |
|
ovolsscl |
|
59 |
44 52 57 58
|
syl3anc |
|
60 |
42 59
|
eqeltrid |
|
61 |
|
iblconst |
|
62 |
33 60 38 61
|
syl3anc |
|
63 |
40 62
|
eqeltrrid |
|
64 |
|
eqid |
|
65 |
64
|
subcn |
|
66 |
65
|
a1i |
|
67 |
29 26
|
feqresmpt |
|
68 |
|
rescncf |
|
69 |
26 5 68
|
sylc |
|
70 |
67 69
|
eqeltrrd |
|
71 |
|
ioossre |
|
72 |
|
ax-resscn |
|
73 |
71 72
|
sstri |
|
74 |
|
ssid |
|
75 |
|
cncfmptc |
|
76 |
73 74 75
|
mp3an23 |
|
77 |
38 76
|
syl |
|
78 |
64 66 70 77
|
cncfmpt2f |
|
79 |
|
cnmbf |
|
80 |
32 78 79
|
sylancr |
|
81 |
31 37 39 63 80
|
iblsubnc |
|
82 |
16 81
|
itgcl |
|
83 |
82
|
adantr |
|
84 |
48 47
|
resubcld |
|
85 |
84
|
recnd |
|
86 |
85
|
adantr |
|
87 |
47 48
|
posdifd |
|
88 |
87
|
biimpa |
|
89 |
88
|
gt0ne0d |
|
90 |
83 86 89
|
divcld |
|
91 |
38
|
adantr |
|
92 |
|
ltle |
|
93 |
47 48 92
|
syl2anc |
|
94 |
93
|
imp |
|
95 |
|
ssidd |
|
96 |
|
ioossre |
|
97 |
96
|
a1i |
|
98 |
1 2 3 4 95 97 6 29 12 14
|
ftc1lem1 |
|
99 |
94 98
|
syldan |
|
100 |
31 39
|
npcand |
|
101 |
100
|
itgeq2dv |
|
102 |
31 39
|
subcld |
|
103 |
100
|
mpteq2dva |
|
104 |
103 67
|
eqtr4d |
|
105 |
|
iblmbf |
|
106 |
6 105
|
syl |
|
107 |
|
mbfres |
|
108 |
106 32 107
|
sylancl |
|
109 |
104 108
|
eqeltrd |
|
110 |
102 81 39 63 109
|
itgaddnc |
|
111 |
101 110
|
eqtr3d |
|
112 |
111
|
adantr |
|
113 |
|
itgconst |
|
114 |
33 60 38 113
|
syl3anc |
|
115 |
114
|
adantr |
|
116 |
47
|
adantr |
|
117 |
48
|
adantr |
|
118 |
|
ovolioo |
|
119 |
116 117 94 118
|
syl3anc |
|
120 |
42 119
|
syl5eq |
|
121 |
120
|
oveq2d |
|
122 |
115 121
|
eqtrd |
|
123 |
122
|
oveq2d |
|
124 |
99 112 123
|
3eqtrd |
|
125 |
124
|
oveq1d |
|
126 |
91 86
|
mulcld |
|
127 |
83 126 86 89
|
divdird |
|
128 |
91 86 89
|
divcan4d |
|
129 |
128
|
oveq2d |
|
130 |
125 127 129
|
3eqtrd |
|
131 |
90 91 130
|
mvrraddd |
|
132 |
131
|
fveq2d |
|
133 |
83 86 89
|
absdivd |
|
134 |
84
|
adantr |
|
135 |
|
0re |
|
136 |
|
ltle |
|
137 |
135 134 136
|
sylancr |
|
138 |
88 137
|
mpd |
|
139 |
134 138
|
absidd |
|
140 |
139
|
oveq2d |
|
141 |
132 133 140
|
3eqtrd |
|
142 |
83
|
abscld |
|
143 |
102
|
abscld |
|
144 |
|
cncfss |
|
145 |
72 74 144
|
mp2an |
|
146 |
|
abscncf |
|
147 |
145 146
|
sselii |
|
148 |
147
|
a1i |
|
149 |
148 78
|
cncfmpt1f |
|
150 |
|
cnmbf |
|
151 |
32 149 150
|
sylancr |
|
152 |
16 81 151
|
iblabsnc |
|
153 |
143 152
|
itgrecl |
|
154 |
153
|
adantr |
|
155 |
9
|
rpred |
|
156 |
84 155
|
remulcld |
|
157 |
156
|
adantr |
|
158 |
82
|
cjcld |
|
159 |
|
cncfmptc |
|
160 |
73 74 159
|
mp3an23 |
|
161 |
158 160
|
syl |
|
162 |
|
nfcv |
|
163 |
|
nfcsb1v |
|
164 |
|
csbeq1a |
|
165 |
162 163 164
|
cbvmpt |
|
166 |
165 78
|
eqeltrrid |
|
167 |
161 166
|
mulcncf |
|
168 |
|
cnmbf |
|
169 |
32 167 168
|
sylancr |
|
170 |
102 81 151 169
|
itgabsnc |
|
171 |
170
|
adantr |
|
172 |
|
simpr |
|
173 |
155
|
adantr |
|
174 |
|
fconstmpt |
|
175 |
9
|
rpcnd |
|
176 |
|
iblconst |
|
177 |
33 60 175 176
|
syl3anc |
|
178 |
174 177
|
eqeltrrid |
|
179 |
|
cncfmptc |
|
180 |
73 74 179
|
mp3an23 |
|
181 |
175 180
|
syl |
|
182 |
64 66 181 149
|
cncfmpt2f |
|
183 |
|
cnmbf |
|
184 |
32 182 183
|
sylancr |
|
185 |
173 178 143 152 184
|
iblsubnc |
|
186 |
185
|
adantr |
|
187 |
11
|
ralrimiva |
|
188 |
187
|
adantr |
|
189 |
96 7
|
sseldi |
|
190 |
10
|
rpred |
|
191 |
189 190
|
resubcld |
|
192 |
191
|
adantr |
|
193 |
47
|
adantr |
|
194 |
|
elioore |
|
195 |
194
|
adantl |
|
196 |
47 189 190
|
absdifltd |
|
197 |
13 196
|
mpbid |
|
198 |
197
|
simpld |
|
199 |
198
|
adantr |
|
200 |
|
eliooord |
|
201 |
200
|
adantl |
|
202 |
201
|
simpld |
|
203 |
192 193 195 199 202
|
lttrd |
|
204 |
48
|
adantr |
|
205 |
189 190
|
readdcld |
|
206 |
205
|
adantr |
|
207 |
201
|
simprd |
|
208 |
48 189 190
|
absdifltd |
|
209 |
15 208
|
mpbid |
|
210 |
209
|
simprd |
|
211 |
210
|
adantr |
|
212 |
195 204 206 207 211
|
lttrd |
|
213 |
189
|
adantr |
|
214 |
190
|
adantr |
|
215 |
195 213 214
|
absdifltd |
|
216 |
203 212 215
|
mpbir2and |
|
217 |
|
fvoveq1 |
|
218 |
217
|
breq1d |
|
219 |
218
|
imbrov2fvoveq |
|
220 |
219
|
rspcv |
|
221 |
27 188 216 220
|
syl3c |
|
222 |
|
difrp |
|
223 |
143 173 222
|
syl2anc |
|
224 |
221 223
|
mpbid |
|
225 |
224
|
adantlr |
|
226 |
182
|
adantr |
|
227 |
172 186 225 226
|
itggt0cn |
|
228 |
173 178 143 152 184
|
itgsubnc |
|
229 |
228
|
adantr |
|
230 |
|
itgconst |
|
231 |
33 60 175 230
|
syl3anc |
|
232 |
231
|
adantr |
|
233 |
120
|
oveq2d |
|
234 |
175 85
|
mulcomd |
|
235 |
234
|
adantr |
|
236 |
232 233 235
|
3eqtrd |
|
237 |
236
|
oveq1d |
|
238 |
229 237
|
eqtrd |
|
239 |
227 238
|
breqtrd |
|
240 |
153 156
|
posdifd |
|
241 |
240
|
biimpar |
|
242 |
239 241
|
syldan |
|
243 |
142 154 157 171 242
|
lelttrd |
|
244 |
155
|
adantr |
|
245 |
|
ltdivmul |
|
246 |
142 244 134 88 245
|
syl112anc |
|
247 |
243 246
|
mpbird |
|
248 |
141 247
|
eqbrtrd |
|