Step |
Hyp |
Ref |
Expression |
1 |
|
crctcsh.v |
|
2 |
|
crctcsh.i |
|
3 |
|
crctcsh.d |
|
4 |
|
crctcsh.n |
|
5 |
|
crctcsh.s |
|
6 |
|
crctcsh.h |
|
7 |
|
crctcsh.q |
|
8 |
|
crctiswlk |
|
9 |
2
|
wlkf |
|
10 |
|
cshwcl |
|
11 |
3 8 9 10
|
4syl |
|
12 |
6 11
|
eqeltrid |
|
13 |
12
|
adantr |
|
14 |
3 8
|
syl |
|
15 |
1
|
wlkp |
|
16 |
|
simpll |
|
17 |
|
elfznn0 |
|
18 |
17
|
adantl |
|
19 |
|
elfzonn0 |
|
20 |
19
|
adantr |
|
21 |
18 20
|
nn0addcld |
|
22 |
21
|
adantr |
|
23 |
|
elfz3nn0 |
|
24 |
4 23
|
eqeltrrid |
|
25 |
24
|
ad2antlr |
|
26 |
|
elfzelz |
|
27 |
26
|
zred |
|
28 |
27
|
adantl |
|
29 |
|
elfzoelz |
|
30 |
29
|
zred |
|
31 |
30
|
adantr |
|
32 |
|
elfzel2 |
|
33 |
32
|
zred |
|
34 |
33
|
adantl |
|
35 |
|
leaddsub |
|
36 |
28 31 34 35
|
syl3anc |
|
37 |
36
|
biimpar |
|
38 |
37 4
|
breqtrdi |
|
39 |
22 25 38
|
3jca |
|
40 |
5 39
|
sylanl1 |
|
41 |
|
elfz2nn0 |
|
42 |
40 41
|
sylibr |
|
43 |
42
|
adantll |
|
44 |
16 43
|
ffvelcdmd |
|
45 |
|
simpll |
|
46 |
|
elfzoel2 |
|
47 |
|
zaddcl |
|
48 |
47
|
adantrr |
|
49 |
|
simprr |
|
50 |
48 49
|
zsubcld |
|
51 |
50
|
adantr |
|
52 |
|
zsubcl |
|
53 |
52
|
ancoms |
|
54 |
53
|
zred |
|
55 |
|
zre |
|
56 |
|
ltnle |
|
57 |
54 55 56
|
syl2anr |
|
58 |
|
zre |
|
59 |
58
|
adantl |
|
60 |
|
zre |
|
61 |
60
|
adantr |
|
62 |
55
|
adantr |
|
63 |
|
ltsubadd |
|
64 |
59 61 62 63
|
syl2an23an |
|
65 |
59
|
adantl |
|
66 |
48
|
zred |
|
67 |
65 66
|
posdifd |
|
68 |
|
0red |
|
69 |
50
|
zred |
|
70 |
|
ltle |
|
71 |
68 69 70
|
syl2anc |
|
72 |
67 71
|
sylbid |
|
73 |
64 72
|
sylbid |
|
74 |
57 73
|
sylbird |
|
75 |
74
|
imp |
|
76 |
51 75
|
jca |
|
77 |
76
|
exp31 |
|
78 |
77 26
|
syl11 |
|
79 |
29 46 78
|
syl2anc |
|
80 |
79
|
imp31 |
|
81 |
|
elnn0z |
|
82 |
80 81
|
sylibr |
|
83 |
24
|
ad2antlr |
|
84 |
|
elfzo0 |
|
85 |
|
elfz2nn0 |
|
86 |
|
nn0re |
|
87 |
86
|
3ad2ant1 |
|
88 |
|
nn0re |
|
89 |
88
|
3ad2ant1 |
|
90 |
87 89
|
anim12ci |
|
91 |
|
nnre |
|
92 |
91 91
|
jca |
|
93 |
92
|
3ad2ant2 |
|
94 |
93
|
adantr |
|
95 |
90 94
|
jca |
|
96 |
|
simpr3 |
|
97 |
|
ltle |
|
98 |
86 91 97
|
syl2an |
|
99 |
98
|
3impia |
|
100 |
99
|
adantr |
|
101 |
95 96 100
|
jca32 |
|
102 |
84 85 101
|
syl2anb |
|
103 |
|
le2add |
|
104 |
103
|
imp |
|
105 |
102 104
|
syl |
|
106 |
66 65 65
|
3jca |
|
107 |
106
|
ex |
|
108 |
107 26
|
syl11 |
|
109 |
29 46 108
|
syl2anc |
|
110 |
109
|
imp |
|
111 |
|
lesubadd |
|
112 |
110 111
|
syl |
|
113 |
105 112
|
mpbird |
|
114 |
113
|
adantr |
|
115 |
114 4
|
breqtrdi |
|
116 |
82 83 115
|
3jca |
|
117 |
5 116
|
sylanl1 |
|
118 |
|
elfz2nn0 |
|
119 |
117 118
|
sylibr |
|
120 |
119
|
adantll |
|
121 |
45 120
|
ffvelcdmd |
|
122 |
44 121
|
ifclda |
|
123 |
122
|
exp32 |
|
124 |
15 123
|
syl |
|
125 |
14 124
|
mpcom |
|
126 |
125
|
imp |
|
127 |
126 7
|
fmptd |
|
128 |
1 2 3 4 5 6
|
crctcshlem2 |
|
129 |
128
|
oveq2d |
|
130 |
129
|
feq2d |
|
131 |
127 130
|
mpbird |
|
132 |
131
|
adantr |
|
133 |
1 2
|
wlkprop |
|
134 |
3 8 133
|
3syl |
|
135 |
134
|
adantr |
|
136 |
4
|
eqcomi |
|
137 |
136
|
oveq2i |
|
138 |
137
|
raleqi |
|
139 |
|
fzo1fzo0n0 |
|
140 |
139
|
simplbi2 |
|
141 |
5 140
|
syl |
|
142 |
141
|
imp |
|
143 |
142
|
ad2antlr |
|
144 |
|
simplll |
|
145 |
|
wkslem1 |
|
146 |
145
|
cbvralvw |
|
147 |
146
|
biimpi |
|
148 |
147
|
adantl |
|
149 |
|
crctprop |
|
150 |
136
|
fveq2i |
|
151 |
150
|
eqeq2i |
|
152 |
151
|
biimpi |
|
153 |
152
|
eqcomd |
|
154 |
153
|
adantl |
|
155 |
3 149 154
|
3syl |
|
156 |
155
|
ad2antrl |
|
157 |
156
|
adantr |
|
158 |
143 7 6 4 144 148 157
|
crctcshwlkn0lem7 |
|
159 |
128
|
oveq2d |
|
160 |
159
|
raleqdv |
|
161 |
160
|
ad2antrl |
|
162 |
161
|
adantr |
|
163 |
158 162
|
mpbird |
|
164 |
163
|
ex |
|
165 |
138 164
|
biimtrid |
|
166 |
165
|
ex |
|
167 |
166
|
com23 |
|
168 |
167
|
3impia |
|
169 |
135 168
|
mpcom |
|
170 |
13 132 169
|
3jca |
|
171 |
1 2 3 4 5 6 7
|
crctcshlem3 |
|
172 |
171
|
adantr |
|
173 |
1 2
|
iswlk |
|
174 |
172 173
|
syl |
|
175 |
170 174
|
mpbird |
|