Step |
Hyp |
Ref |
Expression |
1 |
|
mulsproplem.1 |
|
2 |
|
mulsproplem1.1 |
|
3 |
|
mulsproplem1.2 |
|
4 |
|
mulsproplem1.3 |
|
5 |
|
mulsproplem1.4 |
|
6 |
|
mulsproplem1.5 |
|
7 |
|
mulsproplem1.6 |
|
8 |
|
mulsproplem1.7 |
|
9 |
|
fveq2 |
|
10 |
9
|
oveq1d |
|
11 |
10
|
uneq1d |
|
12 |
11
|
eleq1d |
|
13 |
|
oveq1 |
|
14 |
13
|
eleq1d |
|
15 |
14
|
anbi1d |
|
16 |
12 15
|
imbi12d |
|
17 |
|
fveq2 |
|
18 |
17
|
oveq2d |
|
19 |
18
|
uneq1d |
|
20 |
19
|
eleq1d |
|
21 |
|
oveq2 |
|
22 |
21
|
eleq1d |
|
23 |
22
|
anbi1d |
|
24 |
20 23
|
imbi12d |
|
25 |
|
fveq2 |
|
26 |
25
|
oveq1d |
|
27 |
26
|
uneq1d |
|
28 |
25
|
oveq1d |
|
29 |
28
|
uneq1d |
|
30 |
27 29
|
uneq12d |
|
31 |
30
|
uneq2d |
|
32 |
31
|
eleq1d |
|
33 |
|
breq1 |
|
34 |
33
|
anbi1d |
|
35 |
|
oveq1 |
|
36 |
|
oveq1 |
|
37 |
35 36
|
oveq12d |
|
38 |
37
|
breq1d |
|
39 |
34 38
|
imbi12d |
|
40 |
39
|
anbi2d |
|
41 |
32 40
|
imbi12d |
|
42 |
|
fveq2 |
|
43 |
42
|
oveq1d |
|
44 |
43
|
uneq2d |
|
45 |
42
|
oveq1d |
|
46 |
45
|
uneq2d |
|
47 |
44 46
|
uneq12d |
|
48 |
47
|
uneq2d |
|
49 |
48
|
eleq1d |
|
50 |
|
breq2 |
|
51 |
50
|
anbi1d |
|
52 |
|
oveq1 |
|
53 |
|
oveq1 |
|
54 |
52 53
|
oveq12d |
|
55 |
54
|
breq2d |
|
56 |
51 55
|
imbi12d |
|
57 |
56
|
anbi2d |
|
58 |
49 57
|
imbi12d |
|
59 |
|
fveq2 |
|
60 |
59
|
oveq2d |
|
61 |
60
|
uneq1d |
|
62 |
59
|
oveq2d |
|
63 |
62
|
uneq2d |
|
64 |
61 63
|
uneq12d |
|
65 |
64
|
uneq2d |
|
66 |
65
|
eleq1d |
|
67 |
|
breq1 |
|
68 |
67
|
anbi2d |
|
69 |
|
oveq2 |
|
70 |
69
|
oveq2d |
|
71 |
|
oveq2 |
|
72 |
71
|
oveq2d |
|
73 |
70 72
|
breq12d |
|
74 |
68 73
|
imbi12d |
|
75 |
74
|
anbi2d |
|
76 |
66 75
|
imbi12d |
|
77 |
|
fveq2 |
|
78 |
77
|
oveq2d |
|
79 |
78
|
uneq2d |
|
80 |
77
|
oveq2d |
|
81 |
80
|
uneq1d |
|
82 |
79 81
|
uneq12d |
|
83 |
82
|
uneq2d |
|
84 |
83
|
eleq1d |
|
85 |
|
breq2 |
|
86 |
85
|
anbi2d |
|
87 |
|
oveq2 |
|
88 |
87
|
oveq1d |
|
89 |
|
oveq2 |
|
90 |
89
|
oveq1d |
|
91 |
88 90
|
breq12d |
|
92 |
86 91
|
imbi12d |
|
93 |
92
|
anbi2d |
|
94 |
84 93
|
imbi12d |
|
95 |
16 24 41 58 76 94
|
rspc6v |
|
96 |
2 3 4 5 6 7 95
|
syl222anc |
|
97 |
1 8 96
|
mp2d |
|