Step |
Hyp |
Ref |
Expression |
1 |
|
vitali.1 |
|
2 |
|
vitali.2 |
|
3 |
|
vitali.3 |
|
4 |
|
vitali.4 |
|
5 |
|
vitali.5 |
|
6 |
|
vitali.6 |
|
7 |
|
vitali.7 |
|
8 |
|
fveq2 |
|
9 |
8
|
oveq2d |
|
10 |
9
|
eleq1d |
|
11 |
10
|
rabbidv |
|
12 |
|
reex |
|
13 |
12
|
rabex |
|
14 |
11 6 13
|
fvmpt |
|
15 |
14
|
adantl |
|
16 |
15
|
fveq2d |
|
17 |
1 2 3 4 5 6 7
|
vitalilem2 |
|
18 |
17
|
simp1d |
|
19 |
|
unitssre |
|
20 |
18 19
|
sstrdi |
|
21 |
20
|
adantr |
|
22 |
|
neg1rr |
|
23 |
|
1re |
|
24 |
|
iccssre |
|
25 |
22 23 24
|
mp2an |
|
26 |
|
f1of |
|
27 |
5 26
|
syl |
|
28 |
27
|
ffvelrnda |
|
29 |
28
|
elin2d |
|
30 |
25 29
|
sselid |
|
31 |
|
eqidd |
|
32 |
21 30 31
|
ovolshft |
|
33 |
16 32
|
eqtr4d |
|
34 |
|
3re |
|
35 |
34
|
rexri |
|
36 |
35
|
a1i |
|
37 |
|
3rp |
|
38 |
|
0re |
|
39 |
|
0le1 |
|
40 |
|
ovolicc |
|
41 |
38 23 39 40
|
mp3an |
|
42 |
|
1m0e1 |
|
43 |
41 42
|
eqtri |
|
44 |
43 23
|
eqeltri |
|
45 |
|
ovolsscl |
|
46 |
19 44 45
|
mp3an23 |
|
47 |
18 46
|
syl |
|
48 |
47
|
adantr |
|
49 |
|
simpr |
|
50 |
48 49
|
elrpd |
|
51 |
|
rpdivcl |
|
52 |
37 50 51
|
sylancr |
|
53 |
52
|
rpred |
|
54 |
52
|
rpge0d |
|
55 |
|
flge0nn0 |
|
56 |
53 54 55
|
syl2anc |
|
57 |
|
nn0p1nn |
|
58 |
56 57
|
syl |
|
59 |
58
|
nnred |
|
60 |
59 48
|
remulcld |
|
61 |
60
|
rexrd |
|
62 |
12
|
elpw2 |
|
63 |
20 62
|
sylibr |
|
64 |
63
|
anim1i |
|
65 |
|
eldif |
|
66 |
64 65
|
sylibr |
|
67 |
66
|
ex |
|
68 |
7 67
|
mt3d |
|
69 |
|
inss1 |
|
70 |
|
qssre |
|
71 |
69 70
|
sstri |
|
72 |
|
fss |
|
73 |
27 71 72
|
sylancl |
|
74 |
73
|
ffvelrnda |
|
75 |
|
shftmbl |
|
76 |
68 74 75
|
syl2an2r |
|
77 |
76 6
|
fmptd |
|
78 |
77
|
ffvelrnda |
|
79 |
78
|
ralrimiva |
|
80 |
|
iunmbl |
|
81 |
79 80
|
syl |
|
82 |
|
mblss |
|
83 |
|
ovolcl |
|
84 |
81 82 83
|
3syl |
|
85 |
84
|
adantr |
|
86 |
|
flltp1 |
|
87 |
53 86
|
syl |
|
88 |
34
|
a1i |
|
89 |
88 59 50
|
ltdivmul2d |
|
90 |
87 89
|
mpbid |
|
91 |
|
nnuz |
|
92 |
|
1zzd |
|
93 |
|
mblvol |
|
94 |
78 93
|
syl |
|
95 |
94 33
|
eqtrd |
|
96 |
47
|
adantr |
|
97 |
95 96
|
eqeltrd |
|
98 |
97
|
adantlr |
|
99 |
|
eqid |
|
100 |
98 99
|
fmptd |
|
101 |
100
|
ffvelrnda |
|
102 |
91 92 101
|
serfre |
|
103 |
102
|
frnd |
|
104 |
|
ressxr |
|
105 |
103 104
|
sstrdi |
|
106 |
95
|
adantlr |
|
107 |
106
|
mpteq2dva |
|
108 |
|
fconstmpt |
|
109 |
107 108
|
eqtr4di |
|
110 |
109
|
seqeq3d |
|
111 |
110
|
fveq1d |
|
112 |
48
|
recnd |
|
113 |
|
ser1const |
|
114 |
112 58 113
|
syl2anc |
|
115 |
111 114
|
eqtrd |
|
116 |
102
|
ffnd |
|
117 |
|
fnfvelrn |
|
118 |
116 58 117
|
syl2anc |
|
119 |
115 118
|
eqeltrrd |
|
120 |
|
supxrub |
|
121 |
105 119 120
|
syl2anc |
|
122 |
81
|
adantr |
|
123 |
|
mblvol |
|
124 |
122 123
|
syl |
|
125 |
78 97
|
jca |
|
126 |
125
|
ralrimiva |
|
127 |
1 2 3 4 5 6 7
|
vitalilem3 |
|
128 |
127
|
adantr |
|
129 |
|
eqid |
|
130 |
129 99
|
voliun |
|
131 |
126 128 130
|
syl2an2r |
|
132 |
124 131
|
eqtr3d |
|
133 |
121 132
|
breqtrrd |
|
134 |
36 61 85 90 133
|
xrltletrd |
|
135 |
17
|
simp3d |
|
136 |
135
|
adantr |
|
137 |
|
2re |
|
138 |
|
iccssre |
|
139 |
22 137 138
|
mp2an |
|
140 |
|
ovolss |
|
141 |
136 139 140
|
sylancl |
|
142 |
|
2cn |
|
143 |
|
ax-1cn |
|
144 |
142 143
|
subnegi |
|
145 |
|
neg1lt0 |
|
146 |
|
2pos |
|
147 |
22 38 137
|
lttri |
|
148 |
145 146 147
|
mp2an |
|
149 |
22 137 148
|
ltleii |
|
150 |
|
ovolicc |
|
151 |
22 137 149 150
|
mp3an |
|
152 |
|
df-3 |
|
153 |
144 151 152
|
3eqtr4i |
|
154 |
141 153
|
breqtrdi |
|
155 |
|
xrlenlt |
|
156 |
85 35 155
|
sylancl |
|
157 |
154 156
|
mpbid |
|
158 |
134 157
|
pm2.65da |
|
159 |
|
ovolge0 |
|
160 |
20 159
|
syl |
|
161 |
|
0xr |
|
162 |
|
ovolcl |
|
163 |
20 162
|
syl |
|
164 |
|
xrleloe |
|
165 |
161 163 164
|
sylancr |
|
166 |
160 165
|
mpbid |
|
167 |
166
|
ord |
|
168 |
158 167
|
mpd |
|
169 |
168
|
adantr |
|
170 |
33 169
|
eqtr4d |
|