Step |
Hyp |
Ref |
Expression |
1 |
|
slemuld.1 |
|
2 |
|
slemuld.2 |
|
3 |
|
slemuld.3 |
|
4 |
|
slemuld.4 |
|
5 |
|
slemuld.5 |
|
6 |
|
slemuld.6 |
|
7 |
1 4
|
mulscld |
|
8 |
1 3
|
mulscld |
|
9 |
7 8
|
subscld |
|
10 |
9
|
adantr |
|
11 |
2 4
|
mulscld |
|
12 |
2 3
|
mulscld |
|
13 |
11 12
|
subscld |
|
14 |
13
|
adantr |
|
15 |
1
|
adantr |
|
16 |
2
|
adantr |
|
17 |
3
|
adantr |
|
18 |
4
|
adantr |
|
19 |
|
simprl |
|
20 |
|
simprr |
|
21 |
15 16 17 18 19 20
|
sltmuld |
|
22 |
10 14 21
|
sltled |
|
23 |
22
|
anassrs |
|
24 |
|
0sno |
|
25 |
|
slerflex |
|
26 |
24 25
|
mp1i |
|
27 |
|
subsid |
|
28 |
7 27
|
syl |
|
29 |
|
subsid |
|
30 |
11 29
|
syl |
|
31 |
26 28 30
|
3brtr4d |
|
32 |
|
oveq2 |
|
33 |
32
|
oveq2d |
|
34 |
|
oveq2 |
|
35 |
34
|
oveq2d |
|
36 |
33 35
|
breq12d |
|
37 |
31 36
|
syl5ibrcom |
|
38 |
37
|
imp |
|
39 |
38
|
adantlr |
|
40 |
|
sleloe |
|
41 |
3 4 40
|
syl2anc |
|
42 |
6 41
|
mpbid |
|
43 |
42
|
adantr |
|
44 |
23 39 43
|
mpjaodan |
|
45 |
|
slerflex |
|
46 |
13 45
|
syl |
|
47 |
|
oveq1 |
|
48 |
|
oveq1 |
|
49 |
47 48
|
oveq12d |
|
50 |
49
|
breq1d |
|
51 |
46 50
|
syl5ibrcom |
|
52 |
51
|
imp |
|
53 |
|
sleloe |
|
54 |
1 2 53
|
syl2anc |
|
55 |
5 54
|
mpbid |
|
56 |
44 52 55
|
mpjaodan |
|