Step |
Hyp |
Ref |
Expression |
1 |
|
erdsze.n |
|
2 |
|
erdsze.f |
|
3 |
|
erdszelem.k |
|
4 |
|
erdszelem.o |
|
5 |
|
erdszelem.a |
|
6 |
|
erdszelem.b |
|
7 |
|
erdszelem.l |
|
8 |
|
hashf |
|
9 |
|
ffun |
|
10 |
8 9
|
ax-mp |
|
11 |
1 2 3 4
|
erdszelem5 |
|
12 |
5 11
|
mpdan |
|
13 |
|
fvelima |
|
14 |
10 12 13
|
sylancr |
|
15 |
|
eqid |
|
16 |
15
|
erdszelem1 |
|
17 |
|
fzfid |
|
18 |
|
simplr1 |
|
19 |
|
ssfi |
|
20 |
17 18 19
|
syl2anc |
|
21 |
|
hashcl |
|
22 |
20 21
|
syl |
|
23 |
22
|
nn0red |
|
24 |
|
eqid |
|
25 |
24
|
erdszelem2 |
|
26 |
25
|
simpri |
|
27 |
|
nnssre |
|
28 |
26 27
|
sstri |
|
29 |
28
|
a1i |
|
30 |
|
elfzelz |
|
31 |
5 30
|
syl |
|
32 |
|
elfzelz |
|
33 |
6 32
|
syl |
|
34 |
|
elfznn |
|
35 |
5 34
|
syl |
|
36 |
35
|
nnred |
|
37 |
|
elfznn |
|
38 |
6 37
|
syl |
|
39 |
38
|
nnred |
|
40 |
36 39 7
|
ltled |
|
41 |
|
eluz2 |
|
42 |
31 33 40 41
|
syl3anbrc |
|
43 |
|
fzss2 |
|
44 |
42 43
|
syl |
|
45 |
44
|
ad2antrr |
|
46 |
18 45
|
sstrd |
|
47 |
|
elfz1end |
|
48 |
38 47
|
sylib |
|
49 |
48
|
ad2antrr |
|
50 |
49
|
snssd |
|
51 |
46 50
|
unssd |
|
52 |
|
simplr2 |
|
53 |
|
f1f |
|
54 |
2 53
|
syl |
|
55 |
54
|
ad2antrr |
|
56 |
|
elfzuz3 |
|
57 |
|
fzss2 |
|
58 |
5 56 57
|
3syl |
|
59 |
58
|
ad2antrr |
|
60 |
18 59
|
sstrd |
|
61 |
|
fzssuz |
|
62 |
|
uzssz |
|
63 |
|
zssre |
|
64 |
62 63
|
sstri |
|
65 |
61 64
|
sstri |
|
66 |
|
ltso |
|
67 |
|
soss |
|
68 |
65 66 67
|
mp2 |
|
69 |
|
soisores |
|
70 |
68 4 69
|
mpanl12 |
|
71 |
55 60 70
|
syl2anc |
|
72 |
52 71
|
mpbid |
|
73 |
72
|
r19.21bi |
|
74 |
18
|
sselda |
|
75 |
|
elfzle2 |
|
76 |
74 75
|
syl |
|
77 |
60
|
sselda |
|
78 |
65 77
|
sseldi |
|
79 |
5
|
ad3antrrr |
|
80 |
79 34
|
syl |
|
81 |
80
|
nnred |
|
82 |
78 81
|
lenltd |
|
83 |
76 82
|
mpbid |
|
84 |
52
|
adantr |
|
85 |
|
simplr3 |
|
86 |
85
|
adantr |
|
87 |
|
simpr |
|
88 |
|
isorel |
|
89 |
|
fvres |
|
90 |
|
fvres |
|
91 |
89 90
|
breqan12d |
|
92 |
91
|
adantl |
|
93 |
88 92
|
bitrd |
|
94 |
84 86 87 93
|
syl12anc |
|
95 |
83 94
|
mtbid |
|
96 |
|
simplr |
|
97 |
55
|
adantr |
|
98 |
97 77
|
ffvelrnd |
|
99 |
97 79
|
ffvelrnd |
|
100 |
6
|
ad2antrr |
|
101 |
100
|
adantr |
|
102 |
97 101
|
ffvelrnd |
|
103 |
|
sotr2 |
|
104 |
4 103
|
mpan |
|
105 |
98 99 102 104
|
syl3anc |
|
106 |
95 96 105
|
mp2and |
|
107 |
106
|
a1d |
|
108 |
|
elsni |
|
109 |
108
|
fveq2d |
|
110 |
109
|
breq2d |
|
111 |
110
|
imbi2d |
|
112 |
107 111
|
syl5ibrcom |
|
113 |
112
|
ralrimiv |
|
114 |
|
ralunb |
|
115 |
73 113 114
|
sylanbrc |
|
116 |
115
|
ralrimiva |
|
117 |
51
|
sselda |
|
118 |
|
elfzle2 |
|
119 |
118
|
adantl |
|
120 |
|
elfzelz |
|
121 |
120
|
zred |
|
122 |
121
|
adantl |
|
123 |
39
|
ad3antrrr |
|
124 |
122 123
|
lenltd |
|
125 |
119 124
|
mpbid |
|
126 |
117 125
|
syldan |
|
127 |
126
|
pm2.21d |
|
128 |
127
|
ralrimiva |
|
129 |
|
elsni |
|
130 |
129
|
breq1d |
|
131 |
130
|
imbi1d |
|
132 |
131
|
ralbidv |
|
133 |
128 132
|
syl5ibrcom |
|
134 |
133
|
ralrimiv |
|
135 |
|
ralunb |
|
136 |
116 134 135
|
sylanbrc |
|
137 |
100
|
snssd |
|
138 |
60 137
|
unssd |
|
139 |
|
soisores |
|
140 |
68 4 139
|
mpanl12 |
|
141 |
55 138 140
|
syl2anc |
|
142 |
136 141
|
mpbird |
|
143 |
|
ssun2 |
|
144 |
|
snssg |
|
145 |
49 144
|
syl |
|
146 |
143 145
|
mpbiri |
|
147 |
24
|
erdszelem1 |
|
148 |
51 142 146 147
|
syl3anbrc |
|
149 |
|
vex |
|
150 |
|
snex |
|
151 |
149 150
|
unex |
|
152 |
8
|
fdmi |
|
153 |
151 152
|
eleqtrri |
|
154 |
|
funfvima |
|
155 |
10 153 154
|
mp2an |
|
156 |
148 155
|
syl |
|
157 |
156
|
ne0d |
|
158 |
25
|
simpli |
|
159 |
|
fimaxre2 |
|
160 |
29 158 159
|
sylancl |
|
161 |
36 39
|
ltnled |
|
162 |
7 161
|
mpbid |
|
163 |
|
elfzle2 |
|
164 |
162 163
|
nsyl |
|
165 |
164
|
ad2antrr |
|
166 |
18 165
|
ssneldd |
|
167 |
|
hashunsng |
|
168 |
100 167
|
syl |
|
169 |
20 166 168
|
mp2and |
|
170 |
169 156
|
eqeltrrd |
|
171 |
|
suprub |
|
172 |
29 157 160 170 171
|
syl31anc |
|
173 |
1 2 3
|
erdszelem3 |
|
174 |
6 173
|
syl |
|
175 |
174
|
ad2antrr |
|
176 |
172 175
|
breqtrrd |
|
177 |
1 2 3 4
|
erdszelem6 |
|
178 |
177 6
|
ffvelrnd |
|
179 |
178
|
ad2antrr |
|
180 |
179
|
nnnn0d |
|
181 |
|
nn0ltp1le |
|
182 |
22 180 181
|
syl2anc |
|
183 |
176 182
|
mpbird |
|
184 |
23 183
|
ltned |
|
185 |
184
|
ex |
|
186 |
|
neeq1 |
|
187 |
186
|
imbi2d |
|
188 |
185 187
|
syl5ibcom |
|
189 |
16 188
|
sylan2b |
|
190 |
189
|
rexlimdva |
|
191 |
14 190
|
mpd |
|
192 |
191
|
necon2bd |
|