Step |
Hyp |
Ref |
Expression |
1 |
|
2itscp.a |
|
2 |
|
2itscp.b |
|
3 |
|
2itscp.x |
|
4 |
|
2itscp.y |
|
5 |
|
2itscp.d |
|
6 |
|
2itscp.e |
|
7 |
|
2itscp.c |
|
8 |
|
2itscp.r |
|
9 |
|
2itscp.l |
|
10 |
|
itscnhlinecirc02plem1.n |
|
11 |
|
4re |
|
12 |
11
|
a1i |
|
13 |
3 1
|
resubcld |
|
14 |
5 13
|
eqeltrid |
|
15 |
14
|
resqcld |
|
16 |
14 2
|
remulcld |
|
17 |
2 4
|
resubcld |
|
18 |
6 17
|
eqeltrid |
|
19 |
18 1
|
remulcld |
|
20 |
16 19
|
readdcld |
|
21 |
7 20
|
eqeltrid |
|
22 |
21
|
resqcld |
|
23 |
15 22
|
remulcld |
|
24 |
18
|
resqcld |
|
25 |
24 15
|
readdcld |
|
26 |
8
|
resqcld |
|
27 |
24 26
|
remulcld |
|
28 |
22 27
|
resubcld |
|
29 |
25 28
|
remulcld |
|
30 |
23 29
|
resubcld |
|
31 |
|
4pos |
|
32 |
31
|
a1i |
|
33 |
15 26
|
remulcld |
|
34 |
27 33
|
readdcld |
|
35 |
34 22
|
resubcld |
|
36 |
6
|
a1i |
|
37 |
2
|
recnd |
|
38 |
4
|
recnd |
|
39 |
37 38 10
|
subne0d |
|
40 |
36 39
|
eqnetrd |
|
41 |
18 40
|
sqgt0d |
|
42 |
10
|
orcd |
|
43 |
|
eqid |
|
44 |
|
eqid |
|
45 |
1 2 3 4 5 6 7 8 9 42 43 44
|
2itscp |
|
46 |
24
|
recnd |
|
47 |
15
|
recnd |
|
48 |
26
|
recnd |
|
49 |
46 47 48
|
adddird |
|
50 |
46 47
|
addcld |
|
51 |
50 48
|
mulcomd |
|
52 |
49 51
|
eqtr3d |
|
53 |
52
|
oveq1d |
|
54 |
45 53
|
breqtrrd |
|
55 |
24 35 41 54
|
mulgt0d |
|
56 |
47 46 48
|
mul12d |
|
57 |
56
|
oveq2d |
|
58 |
46 48
|
mulcld |
|
59 |
47 48
|
mulcld |
|
60 |
46 58 59
|
adddid |
|
61 |
57 60
|
eqtr4d |
|
62 |
61
|
oveq1d |
|
63 |
58 59
|
addcld |
|
64 |
22
|
recnd |
|
65 |
46 63 64
|
subdid |
|
66 |
62 65
|
eqtr4d |
|
67 |
55 66
|
breqtrrd |
|
68 |
18
|
recnd |
|
69 |
68
|
sqcld |
|
70 |
14
|
recnd |
|
71 |
70
|
sqcld |
|
72 |
27
|
recnd |
|
73 |
|
mulsubaddmulsub |
|
74 |
69 71 64 72 73
|
syl22anc |
|
75 |
67 74
|
breqtrrd |
|
76 |
12 30 32 75
|
mulgt0d |
|
77 |
|
4cn |
|
78 |
77
|
a1i |
|
79 |
21
|
recnd |
|
80 |
79
|
sqcld |
|
81 |
71 80
|
mulcld |
|
82 |
69 71
|
addcld |
|
83 |
8
|
recnd |
|
84 |
83
|
sqcld |
|
85 |
69 84
|
mulcld |
|
86 |
80 85
|
subcld |
|
87 |
82 86
|
mulcld |
|
88 |
78 81 87
|
subdid |
|
89 |
76 88
|
breqtrd |
|
90 |
|
2cnd |
|
91 |
70 79
|
mulcld |
|
92 |
90 91
|
mulcld |
|
93 |
|
sqneg |
|
94 |
92 93
|
syl |
|
95 |
90 91
|
sqmuld |
|
96 |
|
sq2 |
|
97 |
96
|
a1i |
|
98 |
70 79
|
sqmuld |
|
99 |
97 98
|
oveq12d |
|
100 |
94 95 99
|
3eqtrd |
|
101 |
100
|
oveq1d |
|
102 |
89 101
|
breqtrrd |
|