Step |
Hyp |
Ref |
Expression |
1 |
|
problem4.1 |
|
2 |
|
problem4.2 |
|
3 |
|
problem4.3 |
|
4 |
|
problem4.4 |
|
5 |
|
7re |
|
6 |
5
|
recni |
|
7 |
|
6re |
|
8 |
7
|
recni |
|
9 |
|
ax-1cn |
|
10 |
|
df-7 |
|
11 |
10
|
eqcomi |
|
12 |
6 8 9 11
|
subaddrii |
|
13 |
12
|
eqcomi |
|
14 |
|
3cn |
|
15 |
|
2cn |
|
16 |
|
df-3 |
|
17 |
16
|
eqcomi |
|
18 |
14 15 9 17
|
subaddrii |
|
19 |
18
|
oveq1i |
|
20 |
1
|
mulid2i |
|
21 |
19 20
|
eqtri |
|
22 |
21
|
eqcomi |
|
23 |
14 15 1
|
subdiri |
|
24 |
22 23
|
eqtri |
|
25 |
24
|
oveq1i |
|
26 |
14 1
|
mulcli |
|
27 |
15 1
|
mulcli |
|
28 |
|
subadd23 |
|
29 |
26 27 8 28
|
mp3an |
|
30 |
|
3t2e6 |
|
31 |
1 15
|
mulcomi |
|
32 |
30 31
|
oveq12i |
|
33 |
32
|
eqcomi |
|
34 |
14 1 15
|
subdiri |
|
35 |
34
|
eqcomi |
|
36 |
14 1
|
subcli |
|
37 |
15 36
|
mulcomi |
|
38 |
37
|
eqcomi |
|
39 |
14 1 2 3
|
subaddrii |
|
40 |
39
|
eqcomi |
|
41 |
40
|
oveq2i |
|
42 |
41
|
eqcomi |
|
43 |
38 42
|
eqtri |
|
44 |
35 43
|
eqtri |
|
45 |
33 44
|
eqtri |
|
46 |
45
|
eqcomi |
|
47 |
46
|
oveq2i |
|
48 |
47
|
eqcomi |
|
49 |
29 48
|
eqtri |
|
50 |
25 49
|
eqtri |
|
51 |
50 4
|
eqtri |
|
52 |
6 8 1
|
subadd2i |
|
53 |
52
|
biimpri |
|
54 |
51 53
|
ax-mp |
|
55 |
13 54
|
eqtri |
|
56 |
55
|
eqcomi |
|
57 |
56
|
oveq2i |
|
58 |
14 9 15
|
subadd2i |
|
59 |
58
|
biimpri |
|
60 |
17 59
|
ax-mp |
|
61 |
57 60
|
eqtri |
|
62 |
40 61
|
eqtri |
|
63 |
56 62
|
pm3.2i |
|