Step |
Hyp |
Ref |
Expression |
1 |
|
cevathlem1.a |
|
2 |
|
cevathlem1.b |
|
3 |
|
cevathlem1.c |
|
4 |
|
cevathlem1.d |
|
5 |
|
cevathlem1.e |
|
6 |
1
|
simp2d |
|
7 |
2
|
simp3d |
|
8 |
6 7
|
mulcld |
|
9 |
3
|
simp2d |
|
10 |
8 9
|
mulcld |
|
11 |
2
|
simp1d |
|
12 |
3
|
simp1d |
|
13 |
11 12
|
mulcld |
|
14 |
3
|
simp3d |
|
15 |
13 14
|
mulcld |
|
16 |
1
|
simp1d |
|
17 |
2
|
simp2d |
|
18 |
16 17
|
mulcld |
|
19 |
1
|
simp3d |
|
20 |
18 19
|
mulcld |
|
21 |
4
|
simp1d |
|
22 |
4
|
simp2d |
|
23 |
16 17 21 22
|
mulne0d |
|
24 |
4
|
simp3d |
|
25 |
18 19 23 24
|
mulne0d |
|
26 |
5
|
simp1d |
|
27 |
5
|
simp2d |
|
28 |
26 27
|
oveq12d |
|
29 |
16 6 17 7
|
mul4d |
|
30 |
19 11 16 12
|
mul4d |
|
31 |
28 29 30
|
3eqtr3d |
|
32 |
5
|
simp3d |
|
33 |
31 32
|
oveq12d |
|
34 |
18 8 19 9
|
mul4d |
|
35 |
19 16
|
mulcld |
|
36 |
35 13 17 14
|
mul4d |
|
37 |
33 34 36
|
3eqtr3d |
|
38 |
16 17 19
|
mul32d |
|
39 |
16 19
|
mulcomd |
|
40 |
39
|
oveq1d |
|
41 |
38 40
|
eqtrd |
|
42 |
41
|
oveq1d |
|
43 |
37 42
|
eqtr4d |
|
44 |
10 15 20 25 43
|
mulcanad |
|