Step |
Hyp |
Ref |
Expression |
1 |
|
uniioombl.1 |
|
2 |
|
uniioombl.2 |
|
3 |
|
uniioombl.3 |
|
4 |
|
uniioombl.a |
|
5 |
|
uniioombl.e |
|
6 |
|
uniioombl.c |
|
7 |
|
uniioombl.g |
|
8 |
|
uniioombl.s |
|
9 |
|
uniioombl.t |
|
10 |
|
uniioombl.v |
|
11 |
|
uniioombl.m |
|
12 |
|
uniioombl.m2 |
|
13 |
|
uniioombl.k |
|
14 |
|
uniioombl.n |
|
15 |
|
uniioombl.n2 |
|
16 |
|
uniioombl.l |
|
17 |
|
inss1 |
|
18 |
7
|
uniiccdif |
|
19 |
18
|
simpld |
|
20 |
|
ovolficcss |
|
21 |
7 20
|
syl |
|
22 |
19 21
|
sstrd |
|
23 |
8 22
|
sstrd |
|
24 |
|
ovolsscl |
|
25 |
17 23 5 24
|
mp3an2i |
|
26 |
|
difssd |
|
27 |
|
ovolsscl |
|
28 |
26 23 5 27
|
syl3anc |
|
29 |
25 28
|
readdcld |
|
30 |
|
inss1 |
|
31 |
|
imassrn |
|
32 |
31
|
unissi |
|
33 |
13 32
|
eqsstri |
|
34 |
33 22
|
sstrid |
|
35 |
1 2 3 4 5 6 7 8 9 10
|
uniioombllem1 |
|
36 |
|
ssid |
|
37 |
9
|
ovollb |
|
38 |
7 36 37
|
sylancl |
|
39 |
|
ovollecl |
|
40 |
22 35 38 39
|
syl3anc |
|
41 |
|
ovolsscl |
|
42 |
33 22 40 41
|
mp3an2i |
|
43 |
|
ovolsscl |
|
44 |
30 34 42 43
|
mp3an2i |
|
45 |
|
difssd |
|
46 |
|
ovolsscl |
|
47 |
45 34 42 46
|
syl3anc |
|
48 |
44 47
|
readdcld |
|
49 |
6
|
rpred |
|
50 |
49 49
|
readdcld |
|
51 |
48 50
|
readdcld |
|
52 |
|
4re |
|
53 |
|
remulcl |
|
54 |
52 49 53
|
sylancr |
|
55 |
5 54
|
readdcld |
|
56 |
1 2 3 4 5 6 7 8 9 10 11 12 13
|
uniioombllem3 |
|
57 |
29 51 56
|
ltled |
|
58 |
5 50
|
readdcld |
|
59 |
42 49
|
readdcld |
|
60 |
|
inss1 |
|
61 |
|
ovolsscl |
|
62 |
60 34 42 61
|
mp3an2i |
|
63 |
62 49
|
readdcld |
|
64 |
|
difssd |
|
65 |
|
ovolsscl |
|
66 |
64 34 42 65
|
syl3anc |
|
67 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
|
uniioombllem4 |
|
68 |
|
imassrn |
|
69 |
68
|
unissi |
|
70 |
69 16 4
|
3sstr4i |
|
71 |
|
sscon |
|
72 |
70 71
|
mp1i |
|
73 |
64 34
|
sstrd |
|
74 |
|
ovolss |
|
75 |
72 73 74
|
syl2anc |
|
76 |
44 47 63 66 67 75
|
le2addd |
|
77 |
62
|
recnd |
|
78 |
49
|
recnd |
|
79 |
66
|
recnd |
|
80 |
77 78 79
|
add32d |
|
81 |
|
ioof |
|
82 |
|
inss2 |
|
83 |
|
rexpssxrxp |
|
84 |
82 83
|
sstri |
|
85 |
|
fss |
|
86 |
1 84 85
|
sylancl |
|
87 |
|
fco |
|
88 |
81 86 87
|
sylancr |
|
89 |
|
ffun |
|
90 |
|
funiunfv |
|
91 |
88 89 90
|
3syl |
|
92 |
91 16
|
eqtr4di |
|
93 |
|
fzfid |
|
94 |
|
elfznn |
|
95 |
|
fvco3 |
|
96 |
1 94 95
|
syl2an |
|
97 |
|
ffvelrn |
|
98 |
1 94 97
|
syl2an |
|
99 |
98
|
elin2d |
|
100 |
|
1st2nd2 |
|
101 |
99 100
|
syl |
|
102 |
101
|
fveq2d |
|
103 |
|
df-ov |
|
104 |
102 103
|
eqtr4di |
|
105 |
96 104
|
eqtrd |
|
106 |
|
ioombl |
|
107 |
105 106
|
eqeltrdi |
|
108 |
107
|
ralrimiva |
|
109 |
|
finiunmbl |
|
110 |
93 108 109
|
syl2anc |
|
111 |
92 110
|
eqeltrrd |
|
112 |
|
mblsplit |
|
113 |
111 34 42 112
|
syl3anc |
|
114 |
113
|
oveq1d |
|
115 |
80 114
|
eqtr4d |
|
116 |
76 115
|
breqtrd |
|
117 |
5 49
|
readdcld |
|
118 |
9
|
ovollb |
|
119 |
7 33 118
|
sylancl |
|
120 |
42 35 117 119 10
|
letrd |
|
121 |
42 117 49 120
|
leadd1dd |
|
122 |
5
|
recnd |
|
123 |
122 78 78
|
addassd |
|
124 |
121 123
|
breqtrd |
|
125 |
48 59 58 116 124
|
letrd |
|
126 |
48 58 50 125
|
leadd1dd |
|
127 |
50
|
recnd |
|
128 |
122 127 127
|
addassd |
|
129 |
|
2t2e4 |
|
130 |
129
|
oveq1i |
|
131 |
|
2cnd |
|
132 |
131 131 78
|
mulassd |
|
133 |
78
|
2timesd |
|
134 |
133
|
oveq2d |
|
135 |
127
|
2timesd |
|
136 |
132 134 135
|
3eqtrd |
|
137 |
130 136
|
syl5eqr |
|
138 |
137
|
oveq2d |
|
139 |
128 138
|
eqtr4d |
|
140 |
126 139
|
breqtrd |
|
141 |
29 51 55 57 140
|
letrd |
|