Step |
Hyp |
Ref |
Expression |
1 |
|
dquart.b |
|
2 |
|
dquart.c |
|
3 |
|
dquart.x |
|
4 |
|
dquart.s |
|
5 |
|
dquart.m |
|
6 |
|
dquart.m0 |
|
7 |
|
dquart.i |
|
8 |
|
dquart.i2 |
|
9 |
|
dquart.d |
|
10 |
|
dquart.3 |
|
11 |
|
2cn |
|
12 |
|
mulcl |
|
13 |
11 4 12
|
sylancr |
|
14 |
13
|
sqcld |
|
15 |
5 14
|
eqeltrd |
|
16 |
15 1
|
addcld |
|
17 |
11
|
a1i |
|
18 |
|
2ne0 |
|
19 |
18
|
a1i |
|
20 |
16 17 19
|
sqdivd |
|
21 |
|
sq2 |
|
22 |
21
|
oveq2i |
|
23 |
20 22
|
eqtrdi |
|
24 |
23
|
oveq1d |
|
25 |
16
|
sqcld |
|
26 |
|
4cn |
|
27 |
26
|
a1i |
|
28 |
|
4ne0 |
|
29 |
28
|
a1i |
|
30 |
25 27 29
|
divcld |
|
31 |
2
|
sqcld |
|
32 |
31 27 29
|
divcld |
|
33 |
32 15 6
|
divcld |
|
34 |
30 33
|
subcld |
|
35 |
30 33 15
|
subdird |
|
36 |
25 15 27 29
|
div23d |
|
37 |
36
|
eqcomd |
|
38 |
32 15 6
|
divcan1d |
|
39 |
37 38
|
oveq12d |
|
40 |
|
binom2 |
|
41 |
15 1 40
|
syl2anc |
|
42 |
41
|
oveq1d |
|
43 |
15
|
sqcld |
|
44 |
15 1
|
mulcld |
|
45 |
|
mulcl |
|
46 |
11 44 45
|
sylancr |
|
47 |
43 46
|
addcld |
|
48 |
1
|
sqcld |
|
49 |
47 48 15
|
adddird |
|
50 |
43 46 15
|
adddird |
|
51 |
|
df-3 |
|
52 |
51
|
oveq2i |
|
53 |
|
2nn0 |
|
54 |
|
expp1 |
|
55 |
15 53 54
|
sylancl |
|
56 |
52 55
|
syl5req |
|
57 |
|
mulcl |
|
58 |
11 1 57
|
sylancr |
|
59 |
58 15 15
|
mulassd |
|
60 |
17 15 1
|
mulassd |
|
61 |
17 15 1
|
mul32d |
|
62 |
60 61
|
eqtr3d |
|
63 |
62
|
oveq1d |
|
64 |
15
|
sqvald |
|
65 |
64
|
oveq2d |
|
66 |
59 63 65
|
3eqtr4d |
|
67 |
56 66
|
oveq12d |
|
68 |
50 67
|
eqtrd |
|
69 |
68
|
oveq1d |
|
70 |
42 49 69
|
3eqtrd |
|
71 |
70
|
oveq1d |
|
72 |
|
3nn0 |
|
73 |
|
expcl |
|
74 |
15 72 73
|
sylancl |
|
75 |
58 43
|
mulcld |
|
76 |
74 75
|
addcld |
|
77 |
48 15
|
mulcld |
|
78 |
|
mulcl |
|
79 |
26 9 78
|
sylancr |
|
80 |
79 15
|
mulcld |
|
81 |
76 77 80
|
addsubassd |
|
82 |
48 79 15
|
subdird |
|
83 |
82
|
oveq2d |
|
84 |
81 83
|
eqtr4d |
|
85 |
48 79
|
subcld |
|
86 |
85 15
|
mulcld |
|
87 |
76 86
|
addcld |
|
88 |
31
|
negcld |
|
89 |
76 86 88
|
addassd |
|
90 |
87 31
|
negsubd |
|
91 |
89 90 10
|
3eqtr3d |
|
92 |
87 31 91
|
subeq0d |
|
93 |
71 84 92
|
3eqtrd |
|
94 |
25 15
|
mulcld |
|
95 |
|
subsub23 |
|
96 |
94 80 31 95
|
syl3anc |
|
97 |
93 96
|
mpbid |
|
98 |
27 9 15
|
mulassd |
|
99 |
97 98
|
eqtrd |
|
100 |
99
|
oveq1d |
|
101 |
94 31 27 29
|
divsubdird |
|
102 |
9 15
|
mulcld |
|
103 |
102 27 29
|
divcan3d |
|
104 |
100 101 103
|
3eqtr3d |
|
105 |
35 39 104
|
3eqtrd |
|
106 |
34 9 15 6 105
|
mulcan2ad |
|
107 |
24 106
|
eqtrd |
|