Step |
Hyp |
Ref |
Expression |
1 |
|
mayete3.a |
|
2 |
|
mayete3.b |
|
3 |
|
mayete3.c |
|
4 |
|
mayete3.d |
|
5 |
|
mayete3.f |
|
6 |
|
mayete3.g |
|
7 |
|
mayete3.ac |
|
8 |
|
mayete3.af |
|
9 |
|
mayete3.cf |
|
10 |
|
mayete3.ab |
|
11 |
|
mayete3.cd |
|
12 |
|
mayete3.fg |
|
13 |
|
mayete3.x |
|
14 |
|
mayete3.y |
|
15 |
|
mayete3.z |
|
16 |
|
elin |
|
17 |
1 3
|
chjcli |
|
18 |
17 5
|
chjcli |
|
19 |
18
|
cheli |
|
20 |
19 13
|
eleq2s |
|
21 |
20
|
adantr |
|
22 |
16 21
|
sylbi |
|
23 |
|
ax-hvmulid |
|
24 |
|
2cn |
|
25 |
|
2ne0 |
|
26 |
|
recid2 |
|
27 |
24 25 26
|
mp2an |
|
28 |
27
|
oveq1i |
|
29 |
|
halfcn |
|
30 |
|
ax-hvmulass |
|
31 |
29 24 30
|
mp3an12 |
|
32 |
28 31
|
syl5eqr |
|
33 |
23 32
|
eqtr3d |
|
34 |
22 33
|
syl |
|
35 |
|
hv2times |
|
36 |
35
|
oveq1d |
|
37 |
22 36
|
syl |
|
38 |
|
inss2 |
|
39 |
38
|
sseli |
|
40 |
14
|
elin2 |
|
41 |
|
elin |
|
42 |
1 2
|
pjdsi |
|
43 |
10 42
|
mpan2 |
|
44 |
3 4
|
pjdsi |
|
45 |
11 44
|
mpan2 |
|
46 |
43 45
|
oveqan12d |
|
47 |
41 46
|
sylbi |
|
48 |
|
inss1 |
|
49 |
48
|
sseli |
|
50 |
1 2
|
chjcli |
|
51 |
50
|
cheli |
|
52 |
1
|
pjhcli |
|
53 |
2
|
pjhcli |
|
54 |
3
|
pjhcli |
|
55 |
4
|
pjhcli |
|
56 |
|
hvadd4 |
|
57 |
52 53 54 55 56
|
syl22anc |
|
58 |
49 51 57
|
3syl |
|
59 |
47 58
|
eqtrd |
|
60 |
5 6
|
pjdsi |
|
61 |
12 60
|
mpan2 |
|
62 |
59 61
|
oveqan12d |
|
63 |
40 62
|
sylbi |
|
64 |
39 63
|
syl |
|
65 |
|
hvaddcl |
|
66 |
52 54 65
|
syl2anc |
|
67 |
|
hvaddcl |
|
68 |
53 55 67
|
syl2anc |
|
69 |
5
|
pjhcli |
|
70 |
6
|
pjhcli |
|
71 |
|
hvadd4 |
|
72 |
66 68 69 70 71
|
syl22anc |
|
73 |
22 72
|
syl |
|
74 |
37 64 73
|
3eqtrd |
|
75 |
|
inss1 |
|
76 |
75
|
sseli |
|
77 |
76 13
|
eleqtrdi |
|
78 |
1 3 5
|
pjds3i |
|
79 |
8 9 78
|
mpanr12 |
|
80 |
77 7 79
|
sylancl |
|
81 |
74 80
|
oveq12d |
|
82 |
|
hvmulcl |
|
83 |
24 82
|
mpan |
|
84 |
|
hvpncan |
|
85 |
83 84
|
mpancom |
|
86 |
22 85
|
syl |
|
87 |
81 86
|
eqtr3d |
|
88 |
|
hvaddcl |
|
89 |
66 69 88
|
syl2anc |
|
90 |
|
hvaddcl |
|
91 |
68 70 90
|
syl2anc |
|
92 |
|
hvpncan2 |
|
93 |
89 91 92
|
syl2anc |
|
94 |
22 93
|
syl |
|
95 |
87 94
|
eqtr3d |
|
96 |
2
|
pjcli |
|
97 |
4
|
pjcli |
|
98 |
2
|
chshii |
|
99 |
4
|
chshii |
|
100 |
98 99
|
shsvai |
|
101 |
96 97 100
|
syl2anc |
|
102 |
6
|
pjcli |
|
103 |
98 99
|
shscli |
|
104 |
6
|
chshii |
|
105 |
103 104
|
shsvai |
|
106 |
101 102 105
|
syl2anc |
|
107 |
22 106
|
syl |
|
108 |
95 107
|
eqeltrd |
|
109 |
103 104
|
shscli |
|
110 |
|
shmulcl |
|
111 |
109 29 110
|
mp3an12 |
|
112 |
108 111
|
syl |
|
113 |
34 112
|
eqeltrd |
|
114 |
113
|
ssriv |
|
115 |
2 4
|
chsleji |
|
116 |
2 4
|
chjcli |
|
117 |
116
|
chshii |
|
118 |
103 117 104
|
shlessi |
|
119 |
115 118
|
ax-mp |
|
120 |
114 119
|
sstri |
|
121 |
116 6
|
chsleji |
|
122 |
120 121
|
sstri |
|
123 |
122 15
|
sseqtrri |
|