Step |
Hyp |
Ref |
Expression |
1 |
|
quart.a |
|
2 |
|
quart.b |
|
3 |
|
quart.c |
|
4 |
|
quart.d |
|
5 |
|
quart.x |
|
6 |
|
quart.e |
|
7 |
|
quart.p |
|
8 |
|
quart.q |
|
9 |
|
quart.r |
|
10 |
|
quart.u |
|
11 |
|
quart.v |
|
12 |
|
quart.w |
|
13 |
1 2 3 4 7 8 9
|
quart1cl |
|
14 |
13
|
simp1d |
|
15 |
14
|
sqcld |
|
16 |
|
1nn0 |
|
17 |
|
2nn |
|
18 |
16 17
|
decnncl |
|
19 |
18
|
nncni |
|
20 |
13
|
simp3d |
|
21 |
|
mulcl |
|
22 |
19 20 21
|
sylancr |
|
23 |
15 22
|
addcld |
|
24 |
10 23
|
eqeltrd |
|
25 |
|
2cn |
|
26 |
|
3nn0 |
|
27 |
|
expcl |
|
28 |
14 26 27
|
sylancl |
|
29 |
|
mulcl |
|
30 |
25 28 29
|
sylancr |
|
31 |
30
|
negcld |
|
32 |
|
2nn0 |
|
33 |
|
7nn |
|
34 |
32 33
|
decnncl |
|
35 |
34
|
nncni |
|
36 |
13
|
simp2d |
|
37 |
36
|
sqcld |
|
38 |
|
mulcl |
|
39 |
35 37 38
|
sylancr |
|
40 |
31 39
|
subcld |
|
41 |
|
7nn0 |
|
42 |
41 17
|
decnncl |
|
43 |
42
|
nncni |
|
44 |
14 20
|
mulcld |
|
45 |
|
mulcl |
|
46 |
43 44 45
|
sylancr |
|
47 |
40 46
|
addcld |
|
48 |
11 47
|
eqeltrd |
|
49 |
48
|
sqcld |
|
50 |
|
4cn |
|
51 |
|
expcl |
|
52 |
24 26 51
|
sylancl |
|
53 |
|
mulcl |
|
54 |
50 52 53
|
sylancr |
|
55 |
49 54
|
subcld |
|
56 |
55
|
sqrtcld |
|
57 |
12 56
|
eqeltrd |
|
58 |
24 48 57
|
3jca |
|