Step |
Hyp |
Ref |
Expression |
1 |
|
psgnunilem2.g |
|
2 |
|
psgnunilem2.t |
|
3 |
|
psgnunilem2.d |
|
4 |
|
psgnunilem2.w |
|
5 |
|
psgnunilem2.id |
|
6 |
|
psgnunilem2.l |
|
7 |
|
psgnunilem2.ix |
|
8 |
|
psgnunilem2.a |
|
9 |
|
psgnunilem2.al |
|
10 |
|
noel |
|
11 |
5
|
difeq1d |
|
12 |
11
|
dmeqd |
|
13 |
|
resss |
|
14 |
|
ssdif0 |
|
15 |
13 14
|
mpbi |
|
16 |
15
|
dmeqi |
|
17 |
|
dm0 |
|
18 |
16 17
|
eqtri |
|
19 |
12 18
|
eqtrdi |
|
20 |
19
|
eleq2d |
|
21 |
10 20
|
mtbiri |
|
22 |
1
|
symggrp |
|
23 |
|
grpmnd |
|
24 |
3 22 23
|
3syl |
|
25 |
|
eqid |
|
26 |
2 1 25
|
symgtrf |
|
27 |
|
sswrd |
|
28 |
26 27
|
mp1i |
|
29 |
28 4
|
sseldd |
|
30 |
|
pfxcl |
|
31 |
29 30
|
syl |
|
32 |
25
|
gsumwcl |
|
33 |
24 31 32
|
syl2anc |
|
34 |
1 25
|
symgbasf1o |
|
35 |
33 34
|
syl |
|
36 |
35
|
adantr |
|
37 |
|
wrdf |
|
38 |
4 37
|
syl |
|
39 |
6
|
oveq2d |
|
40 |
7 39
|
eleqtrrd |
|
41 |
38 40
|
ffvelrnd |
|
42 |
26 41
|
sselid |
|
43 |
1 25
|
symgbasf1o |
|
44 |
42 43
|
syl |
|
45 |
44
|
adantr |
|
46 |
1 25
|
symgsssg |
|
47 |
|
subgsubm |
|
48 |
3 46 47
|
3syl |
|
49 |
|
fzossfz |
|
50 |
49 7
|
sselid |
|
51 |
6
|
oveq2d |
|
52 |
50 51
|
eleqtrrd |
|
53 |
|
pfxmpt |
|
54 |
4 52 53
|
syl2anc |
|
55 |
|
difeq1 |
|
56 |
55
|
dmeqd |
|
57 |
56
|
sseq1d |
|
58 |
|
disj2 |
|
59 |
|
disjsn |
|
60 |
58 59
|
bitr3i |
|
61 |
57 60
|
bitrdi |
|
62 |
|
elfzuz3 |
|
63 |
50 62
|
syl |
|
64 |
6 63
|
eqeltrd |
|
65 |
|
fzoss2 |
|
66 |
64 65
|
syl |
|
67 |
66
|
sselda |
|
68 |
38
|
ffvelrnda |
|
69 |
26 68
|
sselid |
|
70 |
67 69
|
syldan |
|
71 |
|
fveq2 |
|
72 |
71
|
difeq1d |
|
73 |
72
|
dmeqd |
|
74 |
73
|
eleq2d |
|
75 |
74
|
notbid |
|
76 |
75
|
cbvralvw |
|
77 |
9 76
|
sylib |
|
78 |
77
|
r19.21bi |
|
79 |
61 70 78
|
elrabd |
|
80 |
54 79
|
fmpt3d |
|
81 |
80
|
adantr |
|
82 |
|
iswrdi |
|
83 |
81 82
|
syl |
|
84 |
|
gsumwsubmcl |
|
85 |
48 83 84
|
syl2an2r |
|
86 |
|
difeq1 |
|
87 |
86
|
dmeqd |
|
88 |
87
|
sseq1d |
|
89 |
88
|
elrab |
|
90 |
89
|
simprbi |
|
91 |
|
disj2 |
|
92 |
|
disjsn |
|
93 |
91 92
|
bitr3i |
|
94 |
90 93
|
sylib |
|
95 |
85 94
|
syl |
|
96 |
8
|
adantr |
|
97 |
95 96
|
jca |
|
98 |
97
|
olcd |
|
99 |
|
excxor |
|
100 |
98 99
|
sylibr |
|
101 |
|
f1omvdco3 |
|
102 |
36 45 100 101
|
syl3anc |
|
103 |
|
elfzo0 |
|
104 |
103
|
simp2bi |
|
105 |
7 104
|
syl |
|
106 |
6 105
|
eqeltrd |
|
107 |
|
wrdfin |
|
108 |
|
hashnncl |
|
109 |
4 107 108
|
3syl |
|
110 |
106 109
|
mpbid |
|
111 |
110
|
adantr |
|
112 |
|
pfxlswccat |
|
113 |
112
|
eqcomd |
|
114 |
4 111 113
|
syl2an2r |
|
115 |
6
|
oveq1d |
|
116 |
115
|
adantr |
|
117 |
105
|
nncnd |
|
118 |
|
1cnd |
|
119 |
|
elfzoelz |
|
120 |
7 119
|
syl |
|
121 |
120
|
zcnd |
|
122 |
117 118 121
|
subadd2d |
|
123 |
122
|
biimpar |
|
124 |
116 123
|
eqtrd |
|
125 |
|
oveq2 |
|
126 |
125
|
adantl |
|
127 |
|
lsw |
|
128 |
4 127
|
syl |
|
129 |
|
fveq2 |
|
130 |
128 129
|
sylan9eq |
|
131 |
130
|
s1eqd |
|
132 |
126 131
|
oveq12d |
|
133 |
124 132
|
syldan |
|
134 |
114 133
|
eqtrd |
|
135 |
134
|
oveq2d |
|
136 |
42
|
s1cld |
|
137 |
|
eqid |
|
138 |
25 137
|
gsumccat |
|
139 |
24 31 136 138
|
syl3anc |
|
140 |
139
|
adantr |
|
141 |
25
|
gsumws1 |
|
142 |
42 141
|
syl |
|
143 |
142
|
oveq2d |
|
144 |
1 25 137
|
symgov |
|
145 |
33 42 144
|
syl2anc |
|
146 |
143 145
|
eqtrd |
|
147 |
146
|
adantr |
|
148 |
135 140 147
|
3eqtrd |
|
149 |
148
|
difeq1d |
|
150 |
149
|
dmeqd |
|
151 |
102 150
|
eleqtrrd |
|
152 |
21 151
|
mtand |
|
153 |
|
fzostep1 |
|
154 |
7 153
|
syl |
|
155 |
154
|
ord |
|
156 |
152 155
|
mt3d |
|