Step |
Hyp |
Ref |
Expression |
1 |
|
kur14lem.j |
|
2 |
|
kur14lem.x |
|
3 |
|
kur14lem.k |
|
4 |
|
kur14lem.i |
|
5 |
|
kur14lem.a |
|
6 |
|
kur14lem.b |
|
7 |
|
kur14lem.c |
|
8 |
|
kur14lem.d |
|
9 |
|
kur14lem.t |
|
10 |
|
elun |
|
11 |
|
elun |
|
12 |
|
elun |
|
13 |
|
eltpi |
|
14 |
|
ssun1 |
|
15 |
|
ssun1 |
|
16 |
|
ssun1 |
|
17 |
16 9
|
sseqtrri |
|
18 |
15 17
|
sstri |
|
19 |
14 18
|
sstri |
|
20 |
2
|
topopn |
|
21 |
1 20
|
ax-mp |
|
22 |
21
|
elexi |
|
23 |
|
difss |
|
24 |
22 23
|
ssexi |
|
25 |
24
|
tpid2 |
|
26 |
19 25
|
sselii |
|
27 |
|
fvex |
|
28 |
27
|
tpid3 |
|
29 |
19 28
|
sselii |
|
30 |
5 26 29
|
kur14lem1 |
|
31 |
1 2 3 4 5
|
kur14lem4 |
|
32 |
22 5
|
ssexi |
|
33 |
32
|
tpid1 |
|
34 |
19 33
|
sselii |
|
35 |
31 34
|
eqeltri |
|
36 |
|
ssun2 |
|
37 |
36 18
|
sstri |
|
38 |
1 2 3 4 23
|
kur14lem3 |
|
39 |
7 38
|
eqsstri |
|
40 |
22 39
|
ssexi |
|
41 |
40
|
tpid2 |
|
42 |
37 41
|
sselii |
|
43 |
7 42
|
eqeltrri |
|
44 |
23 35 43
|
kur14lem1 |
|
45 |
1 2 3 4 5
|
kur14lem3 |
|
46 |
|
difss |
|
47 |
6 46
|
eqsstri |
|
48 |
22 47
|
ssexi |
|
49 |
48
|
tpid1 |
|
50 |
37 49
|
sselii |
|
51 |
6 50
|
eqeltrri |
|
52 |
1 2 3 4 5
|
kur14lem5 |
|
53 |
52 29
|
eqeltri |
|
54 |
45 51 53
|
kur14lem1 |
|
55 |
30 44 54
|
3jaoi |
|
56 |
13 55
|
syl |
|
57 |
|
eltpi |
|
58 |
6
|
difeq2i |
|
59 |
1 2 3 4 45
|
kur14lem4 |
|
60 |
58 59
|
eqtri |
|
61 |
60 29
|
eqeltri |
|
62 |
|
ssun2 |
|
63 |
62 17
|
sstri |
|
64 |
|
fvex |
|
65 |
64
|
tpid1 |
|
66 |
63 65
|
sselii |
|
67 |
47 61 66
|
kur14lem1 |
|
68 |
7
|
difeq2i |
|
69 |
1 2 3 4 5
|
kur14lem2 |
|
70 |
68 69
|
eqtr4i |
|
71 |
|
fvex |
|
72 |
71
|
tpid3 |
|
73 |
37 72
|
sselii |
|
74 |
70 73
|
eqeltri |
|
75 |
1 2 3 4 23
|
kur14lem5 |
|
76 |
7
|
fveq2i |
|
77 |
75 76 7
|
3eqtr4i |
|
78 |
77 42
|
eqeltri |
|
79 |
39 74 78
|
kur14lem1 |
|
80 |
|
difss |
|
81 |
69 80
|
eqsstri |
|
82 |
70
|
difeq2i |
|
83 |
1 2 3 4 39
|
kur14lem4 |
|
84 |
82 83
|
eqtr3i |
|
85 |
84 42
|
eqeltri |
|
86 |
|
fvex |
|
87 |
86
|
tpid3 |
|
88 |
63 87
|
sselii |
|
89 |
81 85 88
|
kur14lem1 |
|
90 |
67 79 89
|
3jaoi |
|
91 |
57 90
|
syl |
|
92 |
56 91
|
jaoi |
|
93 |
12 92
|
sylbi |
|
94 |
|
eltpi |
|
95 |
1 2 3 4 47
|
kur14lem3 |
|
96 |
1 2 3 4 45
|
kur14lem2 |
|
97 |
6
|
fveq2i |
|
98 |
97
|
difeq2i |
|
99 |
96 8 98
|
3eqtr4i |
|
100 |
8 96
|
eqtri |
|
101 |
|
difss |
|
102 |
100 101
|
eqsstri |
|
103 |
22 102
|
ssexi |
|
104 |
103
|
tpid2 |
|
105 |
63 104
|
sselii |
|
106 |
99 105
|
eqeltrri |
|
107 |
1 2 3 4 47
|
kur14lem5 |
|
108 |
107 66
|
eqeltri |
|
109 |
95 106 108
|
kur14lem1 |
|
110 |
99
|
difeq2i |
|
111 |
1 2 3 4 95
|
kur14lem4 |
|
112 |
110 111
|
eqtri |
|
113 |
112 66
|
eqeltri |
|
114 |
|
ssun1 |
|
115 |
|
ssun2 |
|
116 |
115 9
|
sseqtrri |
|
117 |
114 116
|
sstri |
|
118 |
|
fvex |
|
119 |
118
|
tpid2 |
|
120 |
117 119
|
sselii |
|
121 |
102 113 120
|
kur14lem1 |
|
122 |
1 2 3 4 81
|
kur14lem3 |
|
123 |
1 2 3 4 39
|
kur14lem2 |
|
124 |
70
|
fveq2i |
|
125 |
124
|
difeq2i |
|
126 |
123 125
|
eqtri |
|
127 |
|
fvex |
|
128 |
127
|
tpid1 |
|
129 |
117 128
|
sselii |
|
130 |
126 129
|
eqeltrri |
|
131 |
1 2 3 4 81
|
kur14lem5 |
|
132 |
131 88
|
eqeltri |
|
133 |
122 130 132
|
kur14lem1 |
|
134 |
109 121 133
|
3jaoi |
|
135 |
94 134
|
syl |
|
136 |
93 135
|
jaoi |
|
137 |
11 136
|
sylbi |
|
138 |
|
elun |
|
139 |
|
eltpi |
|
140 |
|
difss |
|
141 |
123 140
|
eqsstri |
|
142 |
126
|
difeq2i |
|
143 |
1 2 3 4 122
|
kur14lem4 |
|
144 |
142 143
|
eqtri |
|
145 |
144 88
|
eqeltri |
|
146 |
|
ssun2 |
|
147 |
146 116
|
sstri |
|
148 |
|
fvex |
|
149 |
148
|
prid1 |
|
150 |
147 149
|
sselii |
|
151 |
141 145 150
|
kur14lem1 |
|
152 |
1 2 3 4 102
|
kur14lem3 |
|
153 |
99
|
fveq2i |
|
154 |
153
|
difeq2i |
|
155 |
1 2 3 4 95
|
kur14lem2 |
|
156 |
154 155
|
eqtr4i |
|
157 |
|
fvex |
|
158 |
157
|
tpid3 |
|
159 |
117 158
|
sselii |
|
160 |
156 159
|
eqeltri |
|
161 |
1 2 3 4 102
|
kur14lem5 |
|
162 |
161 120
|
eqeltri |
|
163 |
152 160 162
|
kur14lem1 |
|
164 |
|
difss |
|
165 |
155 164
|
eqsstri |
|
166 |
156
|
difeq2i |
|
167 |
1 2 3 4 152
|
kur14lem4 |
|
168 |
166 167
|
eqtr3i |
|
169 |
168 120
|
eqeltri |
|
170 |
1 2 3 4 5 6
|
kur14lem6 |
|
171 |
170 66
|
eqeltri |
|
172 |
165 169 171
|
kur14lem1 |
|
173 |
151 163 172
|
3jaoi |
|
174 |
139 173
|
syl |
|
175 |
|
elpri |
|
176 |
1 2 3 4 141
|
kur14lem3 |
|
177 |
126
|
fveq2i |
|
178 |
177
|
difeq2i |
|
179 |
1 2 3 4 122
|
kur14lem2 |
|
180 |
178 179
|
eqtr4i |
|
181 |
|
fvex |
|
182 |
181
|
prid2 |
|
183 |
147 182
|
sselii |
|
184 |
180 183
|
eqeltri |
|
185 |
1 2 3 4 141
|
kur14lem5 |
|
186 |
185 150
|
eqeltri |
|
187 |
176 184 186
|
kur14lem1 |
|
188 |
|
difss |
|
189 |
179 188
|
eqsstri |
|
190 |
180
|
difeq2i |
|
191 |
1 2 3 4 176
|
kur14lem4 |
|
192 |
190 191
|
eqtr3i |
|
193 |
192 150
|
eqeltri |
|
194 |
1 2 3 4 23 69
|
kur14lem6 |
|
195 |
194 88
|
eqeltri |
|
196 |
189 193 195
|
kur14lem1 |
|
197 |
187 196
|
jaoi |
|
198 |
175 197
|
syl |
|
199 |
174 198
|
jaoi |
|
200 |
138 199
|
sylbi |
|
201 |
137 200
|
jaoi |
|
202 |
10 201
|
sylbi |
|
203 |
202 9
|
eleq2s |
|