Step |
Hyp |
Ref |
Expression |
1 |
|
cyc3conja.c |
|
2 |
|
cyc3conja.a |
|
3 |
|
cyc3conja.s |
|
4 |
|
cyc3conja.n |
|
5 |
|
cyc3conja.m |
|
6 |
|
cyc3conja.p |
|
7 |
|
cyc3conja.l |
|
8 |
|
cyc3conja.1 |
|
9 |
|
cyc3conja.d |
|
10 |
|
cyc3conja.q |
|
11 |
|
cyc3conja.t |
|
12 |
|
simpr |
|
13 |
|
simpr |
|
14 |
13
|
oveq1d |
|
15 |
14 13
|
oveq12d |
|
16 |
15
|
eqeq2d |
|
17 |
|
simplr |
|
18 |
12 16 17
|
rspcedvd |
|
19 |
9
|
ad5antr |
|
20 |
19
|
ad3antrrr |
|
21 |
|
simp-8r |
|
22 |
|
simp-6r |
|
23 |
21 22
|
eldifd |
|
24 |
|
simpllr |
|
25 |
24
|
eldifad |
|
26 |
|
simplr |
|
27 |
26
|
eldifad |
|
28 |
25 27
|
prssd |
|
29 |
|
simpr |
|
30 |
|
pr2nelem |
|
31 |
24 26 29 30
|
syl3anc |
|
32 |
|
eqid |
|
33 |
|
eqid |
|
34 |
32 33
|
pmtrrn |
|
35 |
20 28 31 34
|
syl3anc |
|
36 |
|
eqid |
|
37 |
3 36 33
|
pmtrodpm |
|
38 |
20 35 37
|
syl2anc |
|
39 |
2
|
difeq2i |
|
40 |
38 39
|
eleqtrrdi |
|
41 |
3 36 2
|
odpmco |
|
42 |
20 23 40 41
|
syl3anc |
|
43 |
|
simpr |
|
44 |
43
|
oveq1d |
|
45 |
44 43
|
oveq12d |
|
46 |
45
|
eqeq2d |
|
47 |
38
|
eldifad |
|
48 |
|
0zd |
|
49 |
|
hashcl |
|
50 |
9 49
|
syl |
|
51 |
4 50
|
eqeltrid |
|
52 |
51
|
nn0zd |
|
53 |
|
3z |
|
54 |
53
|
a1i |
|
55 |
|
0red |
|
56 |
54
|
zred |
|
57 |
|
3pos |
|
58 |
57
|
a1i |
|
59 |
55 56 58
|
ltled |
|
60 |
|
5re |
|
61 |
60
|
a1i |
|
62 |
51
|
nn0red |
|
63 |
|
3lt5 |
|
64 |
63
|
a1i |
|
65 |
56 61 64
|
ltled |
|
66 |
56 61 62 65 8
|
letrd |
|
67 |
|
elfz4 |
|
68 |
48 52 54 59 66 67
|
syl32anc |
|
69 |
1 3 4 5 36
|
cycpmgcl |
|
70 |
9 68 69
|
syl2anc |
|
71 |
70 11
|
sseldd |
|
72 |
71
|
ad8antr |
|
73 |
5 20 25 27 29 32
|
cycpm2tr |
|
74 |
73
|
reseq1d |
|
75 |
25 27
|
s2cld |
|
76 |
25 27 29
|
s2f1 |
|
77 |
5 20 75 76
|
tocycfvres2 |
|
78 |
77
|
reseq1d |
|
79 |
|
simplr |
|
80 |
79
|
elin1d |
|
81 |
|
id |
|
82 |
|
dmeq |
|
83 |
|
eqidd |
|
84 |
81 82 83
|
f1eq123d |
|
85 |
84
|
elrab |
|
86 |
80 85
|
sylib |
|
87 |
86
|
simprd |
|
88 |
|
f1f |
|
89 |
|
frn |
|
90 |
87 88 89
|
3syl |
|
91 |
90
|
ad3antrrr |
|
92 |
24 26
|
prssd |
|
93 |
|
ssconb |
|
94 |
93
|
biimpa |
|
95 |
28 91 92 94
|
syl21anc |
|
96 |
24 26
|
s2rn |
|
97 |
96
|
difeq2d |
|
98 |
95 97
|
sseqtrrd |
|
99 |
98
|
resabs1d |
|
100 |
98
|
resabs1d |
|
101 |
78 99 100
|
3eqtr3d |
|
102 |
74 101
|
eqtr3d |
|
103 |
|
simp-4r |
|
104 |
103
|
reseq1d |
|
105 |
86
|
simpld |
|
106 |
105
|
ad3antrrr |
|
107 |
87
|
ad3antrrr |
|
108 |
5 20 106 107
|
tocycfvres2 |
|
109 |
104 108
|
eqtr3d |
|
110 |
|
disjdif |
|
111 |
110
|
a1i |
|
112 |
|
undif |
|
113 |
91 112
|
sylib |
|
114 |
3 36 47 72 102 109 111 113
|
symgcom |
|
115 |
114
|
coeq2d |
|
116 |
3 36 6
|
symgov |
|
117 |
21 47 116
|
syl2anc |
|
118 |
3 36 6
|
symgcl |
|
119 |
21 47 118
|
syl2anc |
|
120 |
117 119
|
eqeltrrd |
|
121 |
3 36 6
|
symgov |
|
122 |
120 72 121
|
syl2anc |
|
123 |
|
coass |
|
124 |
122 123
|
eqtrdi |
|
125 |
|
coass |
|
126 |
125
|
a1i |
|
127 |
115 124 126
|
3eqtr4d |
|
128 |
|
cnvco |
|
129 |
128
|
a1i |
|
130 |
127 129
|
coeq12d |
|
131 |
|
coass |
|
132 |
|
coass |
|
133 |
132
|
coeq1i |
|
134 |
131 133
|
eqtr3i |
|
135 |
134
|
a1i |
|
136 |
3 36 6
|
symgov |
|
137 |
21 72 136
|
syl2anc |
|
138 |
3 36 6
|
symgcl |
|
139 |
21 72 138
|
syl2anc |
|
140 |
137 139
|
eqeltrrd |
|
141 |
3 36
|
symgbasf |
|
142 |
|
fcoi1 |
|
143 |
140 141 142
|
3syl |
|
144 |
3 36
|
elsymgbas |
|
145 |
144
|
biimpa |
|
146 |
20 47 145
|
syl2anc |
|
147 |
|
f1ococnv2 |
|
148 |
146 147
|
syl |
|
149 |
148
|
coeq2d |
|
150 |
143 149 137
|
3eqtr4d |
|
151 |
150
|
coeq1d |
|
152 |
3 36 7
|
symgsubg |
|
153 |
139 21 152
|
syl2anc |
|
154 |
151 153
|
eqtr4d |
|
155 |
130 135 154
|
3eqtrd |
|
156 |
3
|
symggrp |
|
157 |
9 156
|
syl |
|
158 |
157
|
ad8antr |
|
159 |
36 6
|
grpcl |
|
160 |
158 120 72 159
|
syl3anc |
|
161 |
3 36 7
|
symgsubg |
|
162 |
160 120 161
|
syl2anc |
|
163 |
|
simp-7r |
|
164 |
155 162 163
|
3eqtr4rd |
|
165 |
42 46 164
|
rspcedvd |
|
166 |
|
difexg |
|
167 |
9 166
|
syl |
|
168 |
167
|
ad5antr |
|
169 |
|
3p2e5 |
|
170 |
169 8
|
eqbrtrid |
|
171 |
|
2re |
|
172 |
171
|
a1i |
|
173 |
56 172 62
|
leaddsub2d |
|
174 |
170 173
|
mpbid |
|
175 |
174
|
ad5antr |
|
176 |
4
|
a1i |
|
177 |
79
|
elin2d |
|
178 |
|
hashf |
|
179 |
|
ffn |
|
180 |
|
fniniseg |
|
181 |
178 179 180
|
mp2b |
|
182 |
181
|
simprbi |
|
183 |
177 182
|
syl |
|
184 |
|
vex |
|
185 |
184
|
dmex |
|
186 |
|
hashf1rn |
|
187 |
185 87 186
|
sylancr |
|
188 |
183 187
|
eqtr3d |
|
189 |
176 188
|
oveq12d |
|
190 |
175 189
|
breqtrd |
|
191 |
|
hashssdif |
|
192 |
19 90 191
|
syl2anc |
|
193 |
190 192
|
breqtrrd |
|
194 |
|
hashge2el2dif |
|
195 |
168 193 194
|
syl2anc |
|
196 |
165 195
|
r19.29vva |
|
197 |
|
nfcv |
|
198 |
5 3 36
|
tocycf |
|
199 |
|
ffn |
|
200 |
9 198 199
|
3syl |
|
201 |
11 1
|
eleqtrdi |
|
202 |
197 200 201
|
fvelimad |
|
203 |
202
|
ad3antrrr |
|
204 |
196 203
|
r19.29a |
|
205 |
18 204
|
pm2.61dan |
|
206 |
1 3 4 5 36 6 7 68 9 10 11
|
cycpmconjs |
|
207 |
205 206
|
r19.29a |
|