Step |
Hyp |
Ref |
Expression |
1 |
|
ballotth.m |
|
2 |
|
ballotth.n |
|
3 |
|
ballotth.o |
|
4 |
|
ballotth.p |
|
5 |
|
ballotth.f |
|
6 |
|
ballotlemfp1.c |
|
7 |
|
ballotlemfp1.j |
|
8 |
|
ballotlemfc0.3 |
|
9 |
|
ballotlemfc0.4 |
|
10 |
|
fveq2 |
|
11 |
10
|
breq1d |
|
12 |
11
|
elrab |
|
13 |
12
|
anbi1i |
|
14 |
|
simprlr |
|
15 |
|
simprl |
|
16 |
15
|
adantrr |
|
17 |
|
fzssuz |
|
18 |
|
uzssz |
|
19 |
17 18
|
sstri |
|
20 |
|
zssre |
|
21 |
19 20
|
sstri |
|
22 |
21
|
sseli |
|
23 |
22
|
ltp1d |
|
24 |
|
1red |
|
25 |
22 24
|
readdcld |
|
26 |
22 25
|
ltnled |
|
27 |
23 26
|
mpbid |
|
28 |
16 27
|
syl |
|
29 |
|
simprr |
|
30 |
9
|
adantr |
|
31 |
|
simpr |
|
32 |
31
|
fveq2d |
|
33 |
32
|
breq2d |
|
34 |
|
elnnuz |
|
35 |
7 34
|
sylib |
|
36 |
|
eluzfz2 |
|
37 |
35 36
|
syl |
|
38 |
|
eleq1 |
|
39 |
37 38
|
syl5ibrcom |
|
40 |
39
|
anc2li |
|
41 |
|
1eluzge0 |
|
42 |
|
fzss1 |
|
43 |
42
|
sseld |
|
44 |
41 43
|
ax-mp |
|
45 |
|
0red |
|
46 |
6
|
adantr |
|
47 |
|
elfzelz |
|
48 |
47
|
adantl |
|
49 |
1 2 3 4 5 46 48
|
ballotlemfelz |
|
50 |
49
|
zred |
|
51 |
45 50
|
ltnled |
|
52 |
44 51
|
sylan2 |
|
53 |
40 52
|
syl6 |
|
54 |
53
|
imp |
|
55 |
33 54
|
bitr3d |
|
56 |
30 55
|
mpbid |
|
57 |
56
|
ex |
|
58 |
57
|
con2d |
|
59 |
|
nn1m1nn |
|
60 |
7 59
|
syl |
|
61 |
8
|
adantr |
|
62 |
|
oveq1 |
|
63 |
62
|
adantl |
|
64 |
7
|
nnzd |
|
65 |
|
fzsn |
|
66 |
64 65
|
syl |
|
67 |
66
|
adantr |
|
68 |
63 67
|
eqtr3d |
|
69 |
68
|
rexeqdv |
|
70 |
61 69
|
mpbid |
|
71 |
|
fveq2 |
|
72 |
71
|
breq1d |
|
73 |
72
|
rexsng |
|
74 |
7 73
|
syl |
|
75 |
74
|
adantr |
|
76 |
70 75
|
mpbid |
|
77 |
9
|
adantr |
|
78 |
|
0red |
|
79 |
1 2 3 4 5 6 64
|
ballotlemfelz |
|
80 |
79
|
zred |
|
81 |
78 80
|
ltnled |
|
82 |
81
|
adantr |
|
83 |
77 82
|
mpbid |
|
84 |
76 83
|
pm2.65da |
|
85 |
|
biortn |
|
86 |
84 85
|
syl |
|
87 |
|
notnotb |
|
88 |
87
|
orbi1i |
|
89 |
86 88
|
bitr4di |
|
90 |
60 89
|
mpbird |
|
91 |
|
elnnuz |
|
92 |
90 91
|
sylib |
|
93 |
|
elfzp1 |
|
94 |
92 93
|
syl |
|
95 |
7
|
nncnd |
|
96 |
|
1cnd |
|
97 |
95 96
|
npcand |
|
98 |
97
|
oveq2d |
|
99 |
98
|
eleq2d |
|
100 |
97
|
eqeq2d |
|
101 |
100
|
orbi2d |
|
102 |
94 99 101
|
3bitr3d |
|
103 |
|
orcom |
|
104 |
102 103
|
syl6bb |
|
105 |
104
|
biimpd |
|
106 |
|
pm5.6 |
|
107 |
105 106
|
sylibr |
|
108 |
90
|
nnzd |
|
109 |
|
1z |
|
110 |
108 109
|
jctil |
|
111 |
|
elfzelz |
|
112 |
111 109
|
jctir |
|
113 |
|
fzaddel |
|
114 |
110 112 113
|
syl2an |
|
115 |
114
|
biimp3a |
|
116 |
115
|
3anidm23 |
|
117 |
|
1p1e2 |
|
118 |
117
|
a1i |
|
119 |
118 97
|
oveq12d |
|
120 |
119
|
eleq2d |
|
121 |
|
2eluzge1 |
|
122 |
|
fzss1 |
|
123 |
121 122
|
ax-mp |
|
124 |
123
|
sseli |
|
125 |
120 124
|
syl6bi |
|
126 |
125
|
adantr |
|
127 |
116 126
|
mpd |
|
128 |
127
|
ex |
|
129 |
107 128
|
syld |
|
130 |
58 129
|
sylan2d |
|
131 |
130
|
imp |
|
132 |
131
|
adantrr |
|
133 |
|
fveq2 |
|
134 |
133
|
breq1d |
|
135 |
134
|
elrab |
|
136 |
|
breq1 |
|
137 |
136
|
rspccva |
|
138 |
135 137
|
sylan2br |
|
139 |
138
|
expr |
|
140 |
139
|
con3d |
|
141 |
29 132 140
|
syl2anc |
|
142 |
28 141
|
mpd |
|
143 |
|
simplrr |
|
144 |
132
|
adantr |
|
145 |
|
simpll |
|
146 |
131
|
adantr |
|
147 |
42
|
sseld |
|
148 |
41 146 147
|
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 |
|
0red |
|
156 |
|
simplrr |
|
157 |
15
|
adantr |
|
158 |
157 44
|
syl |
|
159 |
130
|
imdistani |
|
160 |
6
|
adantr |
|
161 |
|
elfznn |
|
162 |
161
|
adantl |
|
163 |
1 2 3 4 5 160 162
|
ballotlemfp1 |
|
164 |
163
|
simpld |
|
165 |
164
|
imp |
|
166 |
159 165
|
sylan |
|
167 |
|
elfzelz |
|
168 |
167
|
zcnd |
|
169 |
|
1cnd |
|
170 |
168 169
|
pncand |
|
171 |
170
|
fveq2d |
|
172 |
171
|
oveq1d |
|
173 |
172
|
eqeq2d |
|
174 |
157 173
|
syl |
|
175 |
166 174
|
mpbid |
|
176 |
|
0z |
|
177 |
|
zlem1lt |
|
178 |
49 176 177
|
sylancl |
|
179 |
178
|
adantr |
|
180 |
|
breq1 |
|
181 |
180
|
adantl |
|
182 |
179 181
|
bitr4d |
|
183 |
145 158 175 182
|
syl21anc |
|
184 |
156 183
|
mpbid |
|
185 |
154 155 184
|
ltled |
|
186 |
185
|
adantlrr |
|
187 |
143 144 186 138
|
syl12anc |
|
188 |
28
|
adantr |
|
189 |
187 188
|
condan |
|
190 |
163
|
simprd |
|
191 |
190
|
imp |
|
192 |
159 191
|
sylan |
|
193 |
15
|
adantr |
|
194 |
171
|
oveq1d |
|
195 |
194
|
eqeq2d |
|
196 |
193 195
|
syl |
|
197 |
192 196
|
mpbid |
|
198 |
197
|
adantlrr |
|
199 |
189 198
|
mpdan |
|
200 |
|
breq1 |
|
201 |
200
|
notbid |
|
202 |
199 201
|
syl |
|
203 |
142 202
|
mpbid |
|
204 |
15 44
|
syl |
|
205 |
204 49
|
syldan |
|
206 |
205
|
adantrr |
|
207 |
|
zleltp1 |
|
208 |
176 207
|
mpan |
|
209 |
|
0red |
|
210 |
|
zre |
|
211 |
|
1red |
|
212 |
210 211
|
readdcld |
|
213 |
209 212
|
ltnled |
|
214 |
208 213
|
bitrd |
|
215 |
206 214
|
syl |
|
216 |
203 215
|
mpbird |
|
217 |
206
|
zred |
|
218 |
|
0red |
|
219 |
217 218
|
letri3d |
|
220 |
14 216 219
|
mpbir2and |
|
221 |
13 220
|
sylan2b |
|
222 |
|
ssrab2 |
|
223 |
222 21
|
sstri |
|
224 |
223
|
a1i |
|
225 |
|
fzfi |
|
226 |
|
ssfi |
|
227 |
225 222 226
|
mp2an |
|
228 |
227
|
a1i |
|
229 |
|
rabn0 |
|
230 |
8 229
|
sylibr |
|
231 |
|
fimaxre |
|
232 |
224 228 230 231
|
syl3anc |
|
233 |
221 232
|
reximddv |
|
234 |
|
elrabi |
|
235 |
234
|
anim1i |
|
236 |
235
|
reximi2 |
|
237 |
233 236
|
syl |
|