Step |
Hyp |
Ref |
Expression |
1 |
|
normlem1.1 |
|
2 |
|
normlem1.2 |
|
3 |
|
normlem1.3 |
|
4 |
|
normlem2.4 |
|
5 |
|
normlem3.5 |
|
6 |
|
normlem3.6 |
|
7 |
|
normlem3.7 |
|
8 |
3 3
|
hicli |
|
9 |
5 8
|
eqeltri |
|
10 |
7
|
recni |
|
11 |
10
|
sqcli |
|
12 |
9 11
|
mulcli |
|
13 |
1 2 3 4
|
normlem2 |
|
14 |
13
|
recni |
|
15 |
14 10
|
mulcli |
|
16 |
12 15
|
addcomi |
|
17 |
1
|
cjcli |
|
18 |
2 3
|
hicli |
|
19 |
17 18
|
mulcli |
|
20 |
3 2
|
hicli |
|
21 |
1 20
|
mulcli |
|
22 |
19 21
|
addcli |
|
23 |
22 10
|
mulneg1i |
|
24 |
4
|
oveq1i |
|
25 |
22 10
|
mulneg2i |
|
26 |
23 24 25
|
3eqtr4i |
|
27 |
10
|
negcli |
|
28 |
19 21 27
|
adddiri |
|
29 |
17 18 27
|
mul32i |
|
30 |
1 20 27
|
mul32i |
|
31 |
29 30
|
oveq12i |
|
32 |
26 28 31
|
3eqtri |
|
33 |
5
|
oveq2i |
|
34 |
11 9 33
|
mulcomli |
|
35 |
32 34
|
oveq12i |
|
36 |
17 27
|
mulcli |
|
37 |
36 18
|
mulcli |
|
38 |
1 27
|
mulcli |
|
39 |
38 20
|
mulcli |
|
40 |
11 8
|
mulcli |
|
41 |
37 39 40
|
addassi |
|
42 |
16 35 41
|
3eqtri |
|
43 |
6 42
|
oveq12i |
|
44 |
12 15
|
addcli |
|
45 |
2 2
|
hicli |
|
46 |
6 45
|
eqeltri |
|
47 |
44 46
|
addcomi |
|
48 |
39 40
|
addcli |
|
49 |
45 37 48
|
addassi |
|
50 |
43 47 49
|
3eqtr4i |
|