Step |
Hyp |
Ref |
Expression |
1 |
|
ballotth.m |
|
2 |
|
ballotth.n |
|
3 |
|
ballotth.o |
|
4 |
|
ballotth.p |
|
5 |
|
ballotth.f |
|
6 |
|
ballotlemfcc.c |
|
7 |
|
ballotlemfcc.j |
|
8 |
|
ballotlemfcc.3 |
|
9 |
|
ballotlemfcc.4 |
|
10 |
|
fveq2 |
|
11 |
10
|
breq2d |
|
12 |
11
|
elrab |
|
13 |
12
|
anbi1i |
|
14 |
|
simprl |
|
15 |
14
|
adantrr |
|
16 |
|
fzssuz |
|
17 |
|
uzssz |
|
18 |
16 17
|
sstri |
|
19 |
|
zssre |
|
20 |
18 19
|
sstri |
|
21 |
20
|
sseli |
|
22 |
21
|
ltp1d |
|
23 |
|
1red |
|
24 |
21 23
|
readdcld |
|
25 |
21 24
|
ltnled |
|
26 |
22 25
|
mpbid |
|
27 |
15 26
|
syl |
|
28 |
|
simprr |
|
29 |
9
|
adantr |
|
30 |
|
simpr |
|
31 |
30
|
fveq2d |
|
32 |
31
|
breq1d |
|
33 |
|
elnnuz |
|
34 |
7 33
|
sylib |
|
35 |
|
eluzfz2 |
|
36 |
34 35
|
syl |
|
37 |
|
eleq1 |
|
38 |
36 37
|
syl5ibrcom |
|
39 |
38
|
anc2li |
|
40 |
|
1eluzge0 |
|
41 |
|
fzss1 |
|
42 |
41
|
sseld |
|
43 |
40 42
|
ax-mp |
|
44 |
6
|
adantr |
|
45 |
|
elfzelz |
|
46 |
45
|
adantl |
|
47 |
1 2 3 4 5 44 46
|
ballotlemfelz |
|
48 |
47
|
zred |
|
49 |
|
0red |
|
50 |
48 49
|
ltnled |
|
51 |
43 50
|
sylan2 |
|
52 |
39 51
|
syl6 |
|
53 |
52
|
imp |
|
54 |
32 53
|
bitr3d |
|
55 |
29 54
|
mpbid |
|
56 |
55
|
ex |
|
57 |
56
|
con2d |
|
58 |
|
nn1m1nn |
|
59 |
7 58
|
syl |
|
60 |
8
|
adantr |
|
61 |
|
oveq1 |
|
62 |
61
|
adantl |
|
63 |
7
|
nnzd |
|
64 |
|
fzsn |
|
65 |
63 64
|
syl |
|
66 |
65
|
adantr |
|
67 |
62 66
|
eqtr3d |
|
68 |
67
|
rexeqdv |
|
69 |
60 68
|
mpbid |
|
70 |
|
fveq2 |
|
71 |
70
|
breq2d |
|
72 |
71
|
rexsng |
|
73 |
7 72
|
syl |
|
74 |
73
|
adantr |
|
75 |
69 74
|
mpbid |
|
76 |
9
|
adantr |
|
77 |
1 2 3 4 5 6 63
|
ballotlemfelz |
|
78 |
77
|
zred |
|
79 |
|
0red |
|
80 |
78 79
|
ltnled |
|
81 |
80
|
adantr |
|
82 |
76 81
|
mpbid |
|
83 |
75 82
|
pm2.65da |
|
84 |
|
biortn |
|
85 |
83 84
|
syl |
|
86 |
|
notnotb |
|
87 |
86
|
orbi1i |
|
88 |
85 87
|
bitr4di |
|
89 |
59 88
|
mpbird |
|
90 |
|
elnnuz |
|
91 |
89 90
|
sylib |
|
92 |
|
elfzp1 |
|
93 |
91 92
|
syl |
|
94 |
7
|
nncnd |
|
95 |
|
1cnd |
|
96 |
94 95
|
npcand |
|
97 |
96
|
oveq2d |
|
98 |
97
|
eleq2d |
|
99 |
96
|
eqeq2d |
|
100 |
99
|
orbi2d |
|
101 |
93 98 100
|
3bitr3d |
|
102 |
|
orcom |
|
103 |
101 102
|
syl6bb |
|
104 |
103
|
biimpd |
|
105 |
|
pm5.6 |
|
106 |
104 105
|
sylibr |
|
107 |
89
|
nnzd |
|
108 |
|
1z |
|
109 |
107 108
|
jctil |
|
110 |
|
elfzelz |
|
111 |
110 108
|
jctir |
|
112 |
|
fzaddel |
|
113 |
109 111 112
|
syl2an |
|
114 |
113
|
biimp3a |
|
115 |
114
|
3anidm23 |
|
116 |
|
1p1e2 |
|
117 |
116
|
a1i |
|
118 |
117 96
|
oveq12d |
|
119 |
118
|
eleq2d |
|
120 |
|
2eluzge1 |
|
121 |
|
fzss1 |
|
122 |
120 121
|
ax-mp |
|
123 |
122
|
sseli |
|
124 |
119 123
|
syl6bi |
|
125 |
124
|
adantr |
|
126 |
115 125
|
mpd |
|
127 |
126
|
ex |
|
128 |
106 127
|
syld |
|
129 |
57 128
|
sylan2d |
|
130 |
129
|
imp |
|
131 |
130
|
adantrr |
|
132 |
|
fveq2 |
|
133 |
132
|
breq2d |
|
134 |
133
|
elrab |
|
135 |
|
breq1 |
|
136 |
135
|
rspccva |
|
137 |
134 136
|
sylan2br |
|
138 |
137
|
expr |
|
139 |
138
|
con3d |
|
140 |
28 131 139
|
syl2anc |
|
141 |
27 140
|
mpd |
|
142 |
|
simplrr |
|
143 |
131
|
adantr |
|
144 |
|
0red |
|
145 |
|
simpll |
|
146 |
130
|
adantr |
|
147 |
41
|
sseld |
|
148 |
40 146 147
|
mpsyl |
|
149 |
6
|
adantr |
|
150 |
|
elfzelz |
|
151 |
150
|
adantl |
|
152 |
1 2 3 4 5 149 151
|
ballotlemfelz |
|
153 |
152
|
zred |
|
154 |
145 148 153
|
syl2anc |
|
155 |
|
simplrr |
|
156 |
14
|
adantr |
|
157 |
156 43
|
syl |
|
158 |
129
|
imdistani |
|
159 |
6
|
adantr |
|
160 |
|
elfznn |
|
161 |
160
|
adantl |
|
162 |
1 2 3 4 5 159 161
|
ballotlemfp1 |
|
163 |
162
|
simprd |
|
164 |
163
|
imp |
|
165 |
158 164
|
sylan |
|
166 |
|
elfzelz |
|
167 |
166
|
zcnd |
|
168 |
|
1cnd |
|
169 |
167 168
|
pncand |
|
170 |
169
|
fveq2d |
|
171 |
170
|
oveq1d |
|
172 |
171
|
eqeq2d |
|
173 |
156 172
|
syl |
|
174 |
165 173
|
mpbid |
|
175 |
|
0z |
|
176 |
|
zleltp1 |
|
177 |
175 47 176
|
sylancr |
|
178 |
177
|
adantr |
|
179 |
|
breq2 |
|
180 |
179
|
adantl |
|
181 |
178 180
|
bitr4d |
|
182 |
145 157 174 181
|
syl21anc |
|
183 |
155 182
|
mpbid |
|
184 |
144 154 183
|
ltled |
|
185 |
184
|
adantlrr |
|
186 |
142 143 185 137
|
syl12anc |
|
187 |
27 186
|
mtand |
|
188 |
162
|
simpld |
|
189 |
188
|
imp |
|
190 |
158 189
|
sylan |
|
191 |
14
|
adantr |
|
192 |
170
|
oveq1d |
|
193 |
192
|
eqeq2d |
|
194 |
191 193
|
syl |
|
195 |
190 194
|
mpbid |
|
196 |
195
|
adantlrr |
|
197 |
187 196
|
mpdan |
|
198 |
|
breq2 |
|
199 |
198
|
notbid |
|
200 |
197 199
|
syl |
|
201 |
141 200
|
mpbid |
|
202 |
14 43
|
syl |
|
203 |
202 47
|
syldan |
|
204 |
203
|
adantrr |
|
205 |
|
zlem1lt |
|
206 |
175 205
|
mpan2 |
|
207 |
|
zre |
|
208 |
|
1red |
|
209 |
207 208
|
resubcld |
|
210 |
|
0red |
|
211 |
209 210
|
ltnled |
|
212 |
206 211
|
bitrd |
|
213 |
204 212
|
syl |
|
214 |
201 213
|
mpbird |
|
215 |
|
simprlr |
|
216 |
204
|
zred |
|
217 |
|
0red |
|
218 |
216 217
|
letri3d |
|
219 |
214 215 218
|
mpbir2and |
|
220 |
13 219
|
sylan2b |
|
221 |
|
ssrab2 |
|
222 |
221 20
|
sstri |
|
223 |
222
|
a1i |
|
224 |
|
fzfi |
|
225 |
|
ssfi |
|
226 |
224 221 225
|
mp2an |
|
227 |
226
|
a1i |
|
228 |
|
rabn0 |
|
229 |
8 228
|
sylibr |
|
230 |
|
fimaxre |
|
231 |
223 227 229 230
|
syl3anc |
|
232 |
220 231
|
reximddv |
|
233 |
|
elrabi |
|
234 |
233
|
anim1i |
|
235 |
234
|
reximi2 |
|
236 |
232 235
|
syl |
|