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 |
|
quart.s |
|
14 |
|
quart.m |
|
15 |
|
quart.t |
|
16 |
|
quart.t0 |
|
17 |
|
2cn |
|
18 |
1 2 3 4 7 8 9
|
quart1cl |
|
19 |
18
|
simp1d |
|
20 |
|
mulcl |
|
21 |
17 19 20
|
sylancr |
|
22 |
1 2 3 4 1 6 7 8 9 10 11 12
|
quartlem2 |
|
23 |
22
|
simp2d |
|
24 |
22
|
simp3d |
|
25 |
23 24
|
addcld |
|
26 |
25
|
halfcld |
|
27 |
|
3nn |
|
28 |
|
nnrecre |
|
29 |
27 28
|
ax-mp |
|
30 |
29
|
recni |
|
31 |
|
cxpcl |
|
32 |
26 30 31
|
sylancl |
|
33 |
15 32
|
eqeltrd |
|
34 |
21 33
|
addcld |
|
35 |
22
|
simp1d |
|
36 |
35 33 16
|
divcld |
|
37 |
34 36
|
addcld |
|
38 |
|
3cn |
|
39 |
38
|
a1i |
|
40 |
|
3ne0 |
|
41 |
40
|
a1i |
|
42 |
37 39 41
|
divcld |
|
43 |
42
|
negcld |
|
44 |
14 43
|
eqeltrd |
|
45 |
44
|
sqrtcld |
|
46 |
45
|
halfcld |
|
47 |
13 46
|
eqeltrd |
|
48 |
47 44 33
|
3jca |
|