Step |
Hyp |
Ref |
Expression |
1 |
|
itgiccshift.a |
|
2 |
|
itgiccshift.b |
|
3 |
|
itgiccshift.aleb |
|
4 |
|
itgiccshift.f |
|
5 |
|
itgiccshift.t |
|
6 |
|
itgiccshift.g |
|
7 |
5
|
rpred |
|
8 |
1 2 7 3
|
leadd1dd |
|
9 |
8
|
ditgpos |
|
10 |
1 7
|
readdcld |
|
11 |
2 7
|
readdcld |
|
12 |
|
cncff |
|
13 |
4 12
|
syl |
|
14 |
13
|
adantr |
|
15 |
1
|
adantr |
|
16 |
2
|
adantr |
|
17 |
10
|
adantr |
|
18 |
11
|
adantr |
|
19 |
|
simpr |
|
20 |
|
eliccre |
|
21 |
17 18 19 20
|
syl3anc |
|
22 |
7
|
adantr |
|
23 |
21 22
|
resubcld |
|
24 |
1
|
recnd |
|
25 |
7
|
recnd |
|
26 |
24 25
|
pncand |
|
27 |
26
|
eqcomd |
|
28 |
27
|
adantr |
|
29 |
|
elicc2 |
|
30 |
17 18 29
|
syl2anc |
|
31 |
19 30
|
mpbid |
|
32 |
31
|
simp2d |
|
33 |
17 21 22 32
|
lesub1dd |
|
34 |
28 33
|
eqbrtrd |
|
35 |
31
|
simp3d |
|
36 |
21 18 22 35
|
lesub1dd |
|
37 |
2
|
recnd |
|
38 |
37 25
|
pncand |
|
39 |
38
|
adantr |
|
40 |
36 39
|
breqtrd |
|
41 |
15 16 23 34 40
|
eliccd |
|
42 |
14 41
|
ffvelrnd |
|
43 |
42 6
|
fmptd |
|
44 |
43
|
ffvelrnda |
|
45 |
10 11 44
|
itgioo |
|
46 |
9 45
|
eqtr2d |
|
47 |
|
eqid |
|
48 |
47
|
addccncf |
|
49 |
25 48
|
syl |
|
50 |
1 2
|
iccssred |
|
51 |
|
ax-resscn |
|
52 |
50 51
|
sstrdi |
|
53 |
10 11
|
iccssred |
|
54 |
53 51
|
sstrdi |
|
55 |
10
|
adantr |
|
56 |
11
|
adantr |
|
57 |
50
|
sselda |
|
58 |
7
|
adantr |
|
59 |
57 58
|
readdcld |
|
60 |
1
|
adantr |
|
61 |
|
simpr |
|
62 |
2
|
adantr |
|
63 |
|
elicc2 |
|
64 |
60 62 63
|
syl2anc |
|
65 |
61 64
|
mpbid |
|
66 |
65
|
simp2d |
|
67 |
60 57 58 66
|
leadd1dd |
|
68 |
65
|
simp3d |
|
69 |
57 62 58 68
|
leadd1dd |
|
70 |
55 56 59 67 69
|
eliccd |
|
71 |
47 49 52 54 70
|
cncfmptssg |
|
72 |
|
fvoveq1 |
|
73 |
72
|
cbvmptv |
|
74 |
1 2 7
|
iccshift |
|
75 |
74
|
mpteq1d |
|
76 |
73 75
|
eqtrid |
|
77 |
6 76
|
eqtrid |
|
78 |
|
eqeq1 |
|
79 |
78
|
rexbidv |
|
80 |
|
oveq1 |
|
81 |
80
|
eqeq2d |
|
82 |
81
|
cbvrexvw |
|
83 |
79 82
|
bitrdi |
|
84 |
83
|
cbvrabv |
|
85 |
84
|
eqcomi |
|
86 |
|
eqid |
|
87 |
52 25 85 4 86
|
cncfshift |
|
88 |
77 87
|
eqeltrd |
|
89 |
43
|
feqmptd |
|
90 |
74
|
eqcomd |
|
91 |
90
|
oveq1d |
|
92 |
88 89 91
|
3eltr3d |
|
93 |
|
ioosscn |
|
94 |
93
|
a1i |
|
95 |
|
1cnd |
|
96 |
|
ssid |
|
97 |
96
|
a1i |
|
98 |
94 95 97
|
constcncfg |
|
99 |
|
fconstmpt |
|
100 |
|
ioombl |
|
101 |
100
|
a1i |
|
102 |
|
ioovolcl |
|
103 |
1 2 102
|
syl2anc |
|
104 |
|
iblconst |
|
105 |
101 103 95 104
|
syl3anc |
|
106 |
99 105
|
eqeltrrid |
|
107 |
98 106
|
elind |
|
108 |
50
|
resmptd |
|
109 |
108
|
eqcomd |
|
110 |
109
|
oveq2d |
|
111 |
51
|
a1i |
|
112 |
111
|
sselda |
|
113 |
25
|
adantr |
|
114 |
112 113
|
addcld |
|
115 |
114
|
fmpttd |
|
116 |
|
ssid |
|
117 |
116
|
a1i |
|
118 |
|
eqid |
|
119 |
118
|
tgioo2 |
|
120 |
118 119
|
dvres |
|
121 |
111 115 117 50 120
|
syl22anc |
|
122 |
110 121
|
eqtrd |
|
123 |
|
iccntr |
|
124 |
1 2 123
|
syl2anc |
|
125 |
124
|
reseq2d |
|
126 |
|
reelprrecn |
|
127 |
126
|
a1i |
|
128 |
|
1cnd |
|
129 |
127
|
dvmptid |
|
130 |
|
0cnd |
|
131 |
127 25
|
dvmptc |
|
132 |
127 112 128 129 113 130 131
|
dvmptadd |
|
133 |
132
|
reseq1d |
|
134 |
|
ioossre |
|
135 |
134
|
a1i |
|
136 |
135
|
resmptd |
|
137 |
|
1p0e1 |
|
138 |
137
|
mpteq2i |
|
139 |
138
|
a1i |
|
140 |
133 136 139
|
3eqtrd |
|
141 |
122 125 140
|
3eqtrd |
|
142 |
|
fveq2 |
|
143 |
|
oveq1 |
|
144 |
|
oveq1 |
|
145 |
1 2 3 71 92 107 141 142 143 144 10 11
|
itgsubsticc |
|
146 |
3
|
ditgpos |
|
147 |
43
|
adantr |
|
148 |
147 70
|
ffvelrnd |
|
149 |
|
1cnd |
|
150 |
148 149
|
mulcld |
|
151 |
1 2 150
|
itgioo |
|
152 |
|
fvoveq1 |
|
153 |
152
|
oveq1d |
|
154 |
153
|
cbvitgv |
|
155 |
43
|
adantr |
|
156 |
10
|
adantr |
|
157 |
11
|
adantr |
|
158 |
50
|
sselda |
|
159 |
7
|
adantr |
|
160 |
158 159
|
readdcld |
|
161 |
1
|
adantr |
|
162 |
1
|
rexrd |
|
163 |
162
|
adantr |
|
164 |
2
|
rexrd |
|
165 |
164
|
adantr |
|
166 |
|
simpr |
|
167 |
|
iccgelb |
|
168 |
163 165 166 167
|
syl3anc |
|
169 |
161 158 159 168
|
leadd1dd |
|
170 |
2
|
adantr |
|
171 |
|
iccleub |
|
172 |
163 165 166 171
|
syl3anc |
|
173 |
158 170 159 172
|
leadd1dd |
|
174 |
156 157 160 169 173
|
eliccd |
|
175 |
155 174
|
ffvelrnd |
|
176 |
175
|
mulid1d |
|
177 |
6 73
|
eqtri |
|
178 |
177
|
a1i |
|
179 |
|
fvoveq1 |
|
180 |
158
|
recnd |
|
181 |
25
|
adantr |
|
182 |
180 181
|
pncand |
|
183 |
182
|
fveq2d |
|
184 |
179 183
|
sylan9eqr |
|
185 |
13
|
ffvelrnda |
|
186 |
178 184 174 185
|
fvmptd |
|
187 |
176 186
|
eqtrd |
|
188 |
187
|
itgeq2dv |
|
189 |
154 188
|
eqtrid |
|
190 |
146 151 189
|
3eqtrd |
|
191 |
46 145 190
|
3eqtrd |
|