Step |
Hyp |
Ref |
Expression |
1 |
|
cycpmconjs.c |
|
2 |
|
cycpmconjs.s |
|
3 |
|
cycpmconjs.n |
|
4 |
|
cycpmconjs.m |
|
5 |
|
cycpmconjs.b |
|
6 |
|
cycpmconjs.a |
|
7 |
|
cycpmconjs.l |
|
8 |
|
cycpmconjs.p |
|
9 |
|
cycpmconjs.d |
|
10 |
|
cycpmconjs.q |
|
11 |
|
fzofi |
|
12 |
|
diffi |
|
13 |
11 12
|
mp1i |
|
14 |
|
diffi |
|
15 |
9 14
|
syl |
|
16 |
15
|
ad2antrr |
|
17 |
|
hashcl |
|
18 |
9 17
|
syl |
|
19 |
3 18
|
eqeltrid |
|
20 |
|
hashfzo0 |
|
21 |
19 20
|
syl |
|
22 |
21 3
|
eqtrdi |
|
23 |
22
|
ad2antrr |
|
24 |
|
simplr |
|
25 |
24
|
elin1d |
|
26 |
|
elrabi |
|
27 |
|
wrdfin |
|
28 |
25 26 27
|
3syl |
|
29 |
|
id |
|
30 |
|
dmeq |
|
31 |
|
eqidd |
|
32 |
29 30 31
|
f1eq123d |
|
33 |
32
|
elrab |
|
34 |
33
|
simprbi |
|
35 |
25 34
|
syl |
|
36 |
|
f1fun |
|
37 |
35 36
|
syl |
|
38 |
|
hashfun |
|
39 |
38
|
biimpa |
|
40 |
28 37 39
|
syl2anc |
|
41 |
24
|
dmexd |
|
42 |
|
hashf1rn |
|
43 |
41 35 42
|
syl2anc |
|
44 |
40 43
|
eqtr3d |
|
45 |
23 44
|
oveq12d |
|
46 |
11
|
a1i |
|
47 |
|
wrddm |
|
48 |
25 26 47
|
3syl |
|
49 |
|
hashcl |
|
50 |
25 26 27 49
|
4syl |
|
51 |
50
|
nn0zd |
|
52 |
18
|
nn0zd |
|
53 |
3 52
|
eqeltrid |
|
54 |
53
|
ad2antrr |
|
55 |
9
|
ad2antrr |
|
56 |
|
wrdf |
|
57 |
56
|
frnd |
|
58 |
25 26 57
|
3syl |
|
59 |
|
hashss |
|
60 |
55 58 59
|
syl2anc |
|
61 |
3
|
a1i |
|
62 |
60 43 61
|
3brtr4d |
|
63 |
|
eluz1 |
|
64 |
63
|
biimpar |
|
65 |
51 54 62 64
|
syl12anc |
|
66 |
|
fzoss2 |
|
67 |
65 66
|
syl |
|
68 |
48 67
|
eqsstrd |
|
69 |
|
hashssdif |
|
70 |
46 68 69
|
syl2anc |
|
71 |
|
hashssdif |
|
72 |
55 58 71
|
syl2anc |
|
73 |
45 70 72
|
3eqtr4d |
|
74 |
|
hasheqf1o |
|
75 |
74
|
biimpa |
|
76 |
13 16 73 75
|
syl21anc |
|
77 |
35
|
adantr |
|
78 |
|
f1f1orn |
|
79 |
77 78
|
syl |
|
80 |
|
simpr |
|
81 |
|
disjdif |
|
82 |
81
|
a1i |
|
83 |
|
disjdif |
|
84 |
83
|
a1i |
|
85 |
|
f1oun |
|
86 |
79 80 82 84 85
|
syl22anc |
|
87 |
|
eqidd |
|
88 |
68
|
adantr |
|
89 |
|
undif |
|
90 |
88 89
|
sylib |
|
91 |
|
undif |
|
92 |
58 91
|
sylib |
|
93 |
92
|
adantr |
|
94 |
87 90 93
|
f1oeq123d |
|
95 |
86 94
|
mpbid |
|
96 |
|
f1ocnv |
|
97 |
95 96
|
syl |
|
98 |
1 2 3 4 5
|
cycpmgcl |
|
99 |
9 8 98
|
syl2anc |
|
100 |
99 10
|
sseldd |
|
101 |
2 5
|
symgbasf1o |
|
102 |
100 101
|
syl |
|
103 |
102
|
ad3antrrr |
|
104 |
|
f1oco |
|
105 |
97 103 104
|
syl2anc |
|
106 |
|
f1oco |
|
107 |
105 95 106
|
syl2anc |
|
108 |
|
f1ofun |
|
109 |
|
funrel |
|
110 |
107 108 109
|
3syl |
|
111 |
|
f1odm |
|
112 |
107 111
|
syl |
|
113 |
|
fzosplit |
|
114 |
8 113
|
syl |
|
115 |
114
|
ad3antrrr |
|
116 |
112 115
|
eqtrd |
|
117 |
|
fzodisj |
|
118 |
|
reldisjun |
|
119 |
117 118
|
mp3an3 |
|
120 |
110 116 119
|
syl2anc |
|
121 |
|
resco |
|
122 |
121
|
a1i |
|
123 |
25 26
|
syl |
|
124 |
|
wrdfn |
|
125 |
123 124
|
syl |
|
126 |
24
|
elin2d |
|
127 |
|
hashf |
|
128 |
|
ffn |
|
129 |
|
fniniseg |
|
130 |
127 128 129
|
mp2b |
|
131 |
130
|
simprbi |
|
132 |
126 131
|
syl |
|
133 |
132
|
oveq2d |
|
134 |
133
|
fneq2d |
|
135 |
125 134
|
mpbid |
|
136 |
135
|
adantr |
|
137 |
|
f1ofn |
|
138 |
80 137
|
syl |
|
139 |
48 133
|
eqtrd |
|
140 |
139
|
ineq1d |
|
141 |
81
|
a1i |
|
142 |
140 141
|
eqtr3d |
|
143 |
142
|
adantr |
|
144 |
|
fnunres1 |
|
145 |
136 138 143 144
|
syl3anc |
|
146 |
145
|
coeq2d |
|
147 |
|
resco |
|
148 |
|
resco |
|
149 |
148
|
a1i |
|
150 |
|
cnvun |
|
151 |
150
|
reseq1i |
|
152 |
|
f1ocnv |
|
153 |
|
f1ofn |
|
154 |
79 152 153
|
3syl |
|
155 |
|
f1ocnv |
|
156 |
|
f1ofn |
|
157 |
80 155 156
|
3syl |
|
158 |
|
fnunres1 |
|
159 |
154 157 84 158
|
syl3anc |
|
160 |
151 159
|
syl5req |
|
161 |
|
simplr |
|
162 |
161
|
reseq1d |
|
163 |
160 162
|
coeq12d |
|
164 |
55
|
adantr |
|
165 |
123
|
adantr |
|
166 |
4 164 165 77
|
tocycfvres1 |
|
167 |
162 166
|
eqtr3d |
|
168 |
167
|
rneqd |
|
169 |
|
1zzd |
|
170 |
|
cshf1o |
|
171 |
165 77 169 170
|
syl3anc |
|
172 |
79 152
|
syl |
|
173 |
|
f1oco |
|
174 |
171 172 173
|
syl2anc |
|
175 |
|
f1ofo |
|
176 |
|
forn |
|
177 |
174 175 176
|
3syl |
|
178 |
168 177
|
eqtrd |
|
179 |
|
ssid |
|
180 |
178 179
|
eqsstrdi |
|
181 |
|
cores |
|
182 |
180 181
|
syl |
|
183 |
149 163 182
|
3eqtrrd |
|
184 |
147 183
|
syl5eq |
|
185 |
184
|
coeq1d |
|
186 |
|
cores |
|
187 |
179 186
|
mp1i |
|
188 |
185 187
|
eqtrd |
|
189 |
|
cores |
|
190 |
179 189
|
mp1i |
|
191 |
132
|
adantr |
|
192 |
1 2 3 4 164 165 77 191
|
cycpmconjslem1 |
|
193 |
188 190 192
|
3eqtr3d |
|
194 |
122 146 193
|
3eqtrd |
|
195 |
|
resco |
|
196 |
139
|
adantr |
|
197 |
196
|
difeq2d |
|
198 |
|
fzodif1 |
|
199 |
8 198
|
syl |
|
200 |
199
|
ad3antrrr |
|
201 |
197 200
|
eqtrd |
|
202 |
201
|
reseq2d |
|
203 |
|
fnunres2 |
|
204 |
136 138 143 203
|
syl3anc |
|
205 |
202 204
|
eqtr3d |
|
206 |
205
|
coeq2d |
|
207 |
195 206
|
syl5eq |
|
208 |
150
|
reseq1i |
|
209 |
|
fnunres2 |
|
210 |
154 157 84 209
|
syl3anc |
|
211 |
208 210
|
syl5eq |
|
212 |
161
|
reseq1d |
|
213 |
4 164 165 77
|
tocycfvres2 |
|
214 |
212 213
|
eqtr3d |
|
215 |
211 214
|
coeq12d |
|
216 |
214
|
rneqd |
|
217 |
|
rnresi |
|
218 |
217
|
eqimssi |
|
219 |
216 218
|
eqsstrdi |
|
220 |
|
cores |
|
221 |
219 220
|
syl |
|
222 |
|
resco |
|
223 |
221 222
|
eqtr4di |
|
224 |
215 223
|
eqtr3d |
|
225 |
224
|
coeq1d |
|
226 |
|
f1of |
|
227 |
80 155 226
|
3syl |
|
228 |
|
fcoi1 |
|
229 |
227 228
|
syl |
|
230 |
229
|
coeq1d |
|
231 |
|
f1ococnv1 |
|
232 |
80 231
|
syl |
|
233 |
201
|
reseq2d |
|
234 |
230 232 233
|
3eqtrd |
|
235 |
|
f1of |
|
236 |
|
frn |
|
237 |
80 235 236
|
3syl |
|
238 |
|
cores |
|
239 |
237 238
|
syl |
|
240 |
225 234 239
|
3eqtr3rd |
|
241 |
207 240
|
eqtrd |
|
242 |
194 241
|
uneq12d |
|
243 |
120 242
|
eqtrd |
|
244 |
|
vex |
|
245 |
|
vex |
|
246 |
244 245
|
unex |
|
247 |
|
f1oeq1 |
|
248 |
|
cnveq |
|
249 |
248
|
coeq1d |
|
250 |
|
id |
|
251 |
249 250
|
coeq12d |
|
252 |
251
|
eqeq1d |
|
253 |
247 252
|
anbi12d |
|
254 |
246 253
|
spcev |
|
255 |
95 243 254
|
syl2anc |
|
256 |
76 255
|
exlimddv |
|
257 |
|
nfcv |
|
258 |
4 2 5
|
tocycf |
|
259 |
|
ffn |
|
260 |
9 258 259
|
3syl |
|
261 |
10 1
|
eleqtrdi |
|
262 |
257 260 261
|
fvelimad |
|
263 |
256 262
|
r19.29a |
|