Step |
Hyp |
Ref |
Expression |
1 |
|
sxbrsiga.0 |
|
2 |
|
dya2ioc.1 |
|
3 |
|
dya2ioc.2 |
|
4 |
1 2 3
|
dya2iocucvr |
|
5 |
|
sxbrsigalem0 |
|
6 |
4 5
|
eqtr4i |
|
7 |
|
vex |
|
8 |
|
vex |
|
9 |
7 8
|
xpex |
|
10 |
3 9
|
elrnmpo |
|
11 |
|
simpr |
|
12 |
1 2
|
dya2icobrsiga |
|
13 |
|
brsigasspwrn |
|
14 |
12 13
|
sstri |
|
15 |
14
|
sseli |
|
16 |
15
|
elpwid |
|
17 |
14
|
sseli |
|
18 |
17
|
elpwid |
|
19 |
|
xpinpreima2 |
|
20 |
16 18 19
|
syl2an |
|
21 |
|
reex |
|
22 |
21
|
mptex |
|
23 |
22
|
rnex |
|
24 |
21
|
mptex |
|
25 |
24
|
rnex |
|
26 |
23 25
|
unex |
|
27 |
26
|
a1i |
|
28 |
27
|
sgsiga |
|
29 |
28
|
mptru |
|
30 |
29
|
a1i |
|
31 |
|
1stpreima |
|
32 |
16 31
|
syl |
|
33 |
|
ovex |
|
34 |
2 33
|
elrnmpo |
|
35 |
|
simpr |
|
36 |
35
|
xpeq1d |
|
37 |
|
simpl |
|
38 |
37
|
zred |
|
39 |
|
2rp |
|
40 |
39
|
a1i |
|
41 |
|
simpr |
|
42 |
40 41
|
rpexpcld |
|
43 |
38 42
|
rerpdivcld |
|
44 |
43
|
rexrd |
|
45 |
|
1red |
|
46 |
38 45
|
readdcld |
|
47 |
46 42
|
rerpdivcld |
|
48 |
47
|
rexrd |
|
49 |
|
pnfxr |
|
50 |
49
|
a1i |
|
51 |
38
|
lep1d |
|
52 |
38 46 42 51
|
lediv1dd |
|
53 |
|
pnfge |
|
54 |
48 53
|
syl |
|
55 |
|
difico |
|
56 |
44 48 50 52 54 55
|
syl32anc |
|
57 |
56
|
xpeq1d |
|
58 |
|
difxp1 |
|
59 |
57 58
|
eqtr3di |
|
60 |
29
|
a1i |
|
61 |
|
ssun1 |
|
62 |
|
eqid |
|
63 |
|
oveq1 |
|
64 |
63
|
xpeq1d |
|
65 |
64
|
rspceeqv |
|
66 |
43 62 65
|
sylancl |
|
67 |
|
eqid |
|
68 |
|
ovex |
|
69 |
68 21
|
xpex |
|
70 |
67 69
|
elrnmpti |
|
71 |
66 70
|
sylibr |
|
72 |
61 71
|
sselid |
|
73 |
|
elsigagen |
|
74 |
26 72 73
|
sylancr |
|
75 |
|
eqid |
|
76 |
|
oveq1 |
|
77 |
76
|
xpeq1d |
|
78 |
77
|
rspceeqv |
|
79 |
47 75 78
|
sylancl |
|
80 |
67 69
|
elrnmpti |
|
81 |
79 80
|
sylibr |
|
82 |
61 81
|
sselid |
|
83 |
|
elsigagen |
|
84 |
26 82 83
|
sylancr |
|
85 |
|
difelsiga |
|
86 |
60 74 84 85
|
syl3anc |
|
87 |
59 86
|
eqeltrd |
|
88 |
87
|
adantr |
|
89 |
36 88
|
eqeltrd |
|
90 |
89
|
ex |
|
91 |
90
|
rexlimivv |
|
92 |
34 91
|
sylbi |
|
93 |
32 92
|
eqeltrd |
|
94 |
93
|
adantr |
|
95 |
|
2ndpreima |
|
96 |
18 95
|
syl |
|
97 |
2 33
|
elrnmpo |
|
98 |
|
simpr |
|
99 |
98
|
xpeq2d |
|
100 |
56
|
xpeq2d |
|
101 |
|
difxp2 |
|
102 |
100 101
|
eqtr3di |
|
103 |
|
ssun2 |
|
104 |
|
eqid |
|
105 |
|
oveq1 |
|
106 |
105
|
xpeq2d |
|
107 |
106
|
rspceeqv |
|
108 |
43 104 107
|
sylancl |
|
109 |
|
eqid |
|
110 |
|
ovex |
|
111 |
21 110
|
xpex |
|
112 |
109 111
|
elrnmpti |
|
113 |
108 112
|
sylibr |
|
114 |
103 113
|
sselid |
|
115 |
|
elsigagen |
|
116 |
26 114 115
|
sylancr |
|
117 |
|
eqid |
|
118 |
|
oveq1 |
|
119 |
118
|
xpeq2d |
|
120 |
119
|
rspceeqv |
|
121 |
47 117 120
|
sylancl |
|
122 |
109 111
|
elrnmpti |
|
123 |
121 122
|
sylibr |
|
124 |
103 123
|
sselid |
|
125 |
|
elsigagen |
|
126 |
26 124 125
|
sylancr |
|
127 |
|
difelsiga |
|
128 |
60 116 126 127
|
syl3anc |
|
129 |
102 128
|
eqeltrd |
|
130 |
129
|
adantr |
|
131 |
99 130
|
eqeltrd |
|
132 |
131
|
ex |
|
133 |
132
|
rexlimivv |
|
134 |
97 133
|
sylbi |
|
135 |
96 134
|
eqeltrd |
|
136 |
135
|
adantl |
|
137 |
|
inelsiga |
|
138 |
30 94 136 137
|
syl3anc |
|
139 |
20 138
|
eqeltrd |
|
140 |
139
|
adantr |
|
141 |
11 140
|
eqeltrd |
|
142 |
141
|
ex |
|
143 |
142
|
rexlimivv |
|
144 |
10 143
|
sylbi |
|
145 |
144
|
ssriv |
|
146 |
|
sigagenss2 |
|
147 |
6 145 26 146
|
mp3an |
|