Step |
Hyp |
Ref |
Expression |
1 |
|
frlmfzoccat.w |
|
2 |
|
frlmfzoccat.x |
|
3 |
|
frlmfzoccat.y |
|
4 |
|
frlmfzoccat.b |
|
5 |
|
frlmfzoccat.c |
|
6 |
|
frlmfzoccat.d |
|
7 |
|
frlmfzoccat.k |
|
8 |
|
frlmfzoccat.l |
|
9 |
|
frlmfzoccat.m |
|
10 |
|
frlmfzoccat.n |
|
11 |
|
frlmfzoccat.u |
|
12 |
|
frlmfzoccat.v |
|
13 |
|
frlmvscadiccat.o |
|
14 |
|
frlmvscadiccat.p |
|
15 |
|
frlmvscadiccat.q |
|
16 |
|
frlmvscadiccat.s |
|
17 |
|
frlmvscadiccat.a |
|
18 |
|
fconstg |
|
19 |
17 18
|
syl |
|
20 |
19
|
ffnd |
|
21 |
|
fconstg |
|
22 |
|
iswrdi |
|
23 |
17 21 22
|
3syl |
|
24 |
|
fconstg |
|
25 |
|
iswrdi |
|
26 |
17 24 25
|
3syl |
|
27 |
|
ccatvalfn |
|
28 |
23 26 27
|
syl2anc |
|
29 |
|
fzofi |
|
30 |
|
snfi |
|
31 |
|
hashxp |
|
32 |
29 30 31
|
mp2an |
|
33 |
|
hashsng |
|
34 |
17 33
|
syl |
|
35 |
34
|
oveq2d |
|
36 |
|
hashcl |
|
37 |
29 36
|
mp1i |
|
38 |
37
|
nn0cnd |
|
39 |
38
|
mulid1d |
|
40 |
|
hashfzo0 |
|
41 |
9 40
|
syl |
|
42 |
35 39 41
|
3eqtrd |
|
43 |
32 42
|
syl5eq |
|
44 |
|
fzofi |
|
45 |
|
hashxp |
|
46 |
44 30 45
|
mp2an |
|
47 |
34
|
oveq2d |
|
48 |
|
hashcl |
|
49 |
44 48
|
mp1i |
|
50 |
49
|
nn0cnd |
|
51 |
50
|
mulid1d |
|
52 |
|
hashfzo0 |
|
53 |
10 52
|
syl |
|
54 |
47 51 53
|
3eqtrd |
|
55 |
46 54
|
syl5eq |
|
56 |
43 55
|
oveq12d |
|
57 |
56 8
|
eqtrd |
|
58 |
57
|
oveq2d |
|
59 |
58
|
fneq2d |
|
60 |
28 59
|
mpbid |
|
61 |
43
|
adantr |
|
62 |
61
|
breq2d |
|
63 |
62
|
ifbid |
|
64 |
17
|
adantr |
|
65 |
|
elfzouz |
|
66 |
65
|
ad2antlr |
|
67 |
9
|
ad2antrr |
|
68 |
67
|
nn0zd |
|
69 |
|
simpr |
|
70 |
|
elfzo2 |
|
71 |
66 68 69 70
|
syl3anbrc |
|
72 |
|
fvconst2g |
|
73 |
64 71 72
|
syl2an2r |
|
74 |
43
|
ad2antrr |
|
75 |
74
|
oveq2d |
|
76 |
9
|
ad2antrr |
|
77 |
|
elfzonn0 |
|
78 |
77
|
ad2antlr |
|
79 |
9
|
adantr |
|
80 |
79
|
nn0red |
|
81 |
|
elfzoelz |
|
82 |
81
|
adantl |
|
83 |
82
|
zred |
|
84 |
80 83
|
lenltd |
|
85 |
84
|
biimpar |
|
86 |
|
nn0sub2 |
|
87 |
76 78 85 86
|
syl3anc |
|
88 |
|
elnn0uz |
|
89 |
87 88
|
sylib |
|
90 |
10
|
ad2antrr |
|
91 |
90
|
nn0zd |
|
92 |
|
elfzolt2 |
|
93 |
92
|
adantl |
|
94 |
80
|
recnd |
|
95 |
83
|
recnd |
|
96 |
94 95
|
pncan3d |
|
97 |
8
|
adantr |
|
98 |
93 96 97
|
3brtr4d |
|
99 |
83 80
|
resubcld |
|
100 |
10
|
adantr |
|
101 |
100
|
nn0red |
|
102 |
99 101 80
|
ltadd2d |
|
103 |
98 102
|
mpbird |
|
104 |
103
|
adantr |
|
105 |
|
elfzo2 |
|
106 |
89 91 104 105
|
syl3anbrc |
|
107 |
75 106
|
eqeltrd |
|
108 |
|
fvconst2g |
|
109 |
64 107 108
|
syl2an2r |
|
110 |
73 109
|
ifeqda |
|
111 |
63 110
|
eqtr2d |
|
112 |
|
fvconst2g |
|
113 |
17 112
|
sylan |
|
114 |
64 21 22
|
3syl |
|
115 |
64 24 25
|
3syl |
|
116 |
|
ccatsymb |
|
117 |
114 115 82 116
|
syl3anc |
|
118 |
111 113 117
|
3eqtr4d |
|
119 |
20 60 118
|
eqfnfvd |
|
120 |
119
|
oveq1d |
|
121 |
2 5 16
|
frlmfzowrd |
|
122 |
11 121
|
syl |
|
123 |
3 6 16
|
frlmfzowrd |
|
124 |
12 123
|
syl |
|
125 |
32 35
|
syl5eq |
|
126 |
|
ovexd |
|
127 |
2 16 5
|
frlmbasf |
|
128 |
126 11 127
|
syl2anc |
|
129 |
128
|
ffnd |
|
130 |
|
hashfn |
|
131 |
129 130
|
syl |
|
132 |
39 125 131
|
3eqtr4d |
|
133 |
47 51
|
eqtrd |
|
134 |
46 133
|
syl5eq |
|
135 |
|
ovexd |
|
136 |
3 16 6
|
frlmbasf |
|
137 |
135 12 136
|
syl2anc |
|
138 |
137
|
ffnd |
|
139 |
|
hashfn |
|
140 |
138 139
|
syl |
|
141 |
134 140
|
eqtr4d |
|
142 |
23 26 122 124 132 141
|
ofccat |
|
143 |
120 142
|
eqtrd |
|
144 |
|
ovexd |
|
145 |
1 2 3 4 5 6 7 8 9 10 11 12
|
frlmfzoccat |
|
146 |
|
eqid |
|
147 |
1 4 16 144 17 145 13 146
|
frlmvscafval |
|
148 |
2 5 16 126 17 11 14 146
|
frlmvscafval |
|
149 |
3 6 16 135 17 12 15 146
|
frlmvscafval |
|
150 |
148 149
|
oveq12d |
|
151 |
143 147 150
|
3eqtr4d |
|