Step |
Hyp |
Ref |
Expression |
1 |
|
rhmimaidl.b |
|
2 |
|
rhmimaidl.t |
|
3 |
|
rhmimaidl.u |
|
4 |
|
eqid |
|
5 |
4 1
|
rhmf |
|
6 |
|
fimass |
|
7 |
5 6
|
syl |
|
8 |
7
|
ad2antrr |
|
9 |
5
|
ffnd |
|
10 |
9
|
ad2antrr |
|
11 |
|
rhmrcl1 |
|
12 |
11
|
ad2antrr |
|
13 |
|
eqid |
|
14 |
4 13
|
ring0cl |
|
15 |
12 14
|
syl |
|
16 |
|
simpr |
|
17 |
2 13
|
lidl0cl |
|
18 |
12 16 17
|
syl2anc |
|
19 |
10 15 18
|
fnfvimad |
|
20 |
19
|
ne0d |
|
21 |
|
rhmghm |
|
22 |
21
|
ad4antr |
|
23 |
11
|
ad4antr |
|
24 |
|
simpr |
|
25 |
4 2
|
lidlss |
|
26 |
25
|
ad4antlr |
|
27 |
|
simplr |
|
28 |
26 27
|
sseldd |
|
29 |
|
eqid |
|
30 |
4 29
|
ringcl |
|
31 |
23 24 28 30
|
syl3anc |
|
32 |
|
simpllr |
|
33 |
26 32
|
sseldd |
|
34 |
|
eqid |
|
35 |
|
eqid |
|
36 |
4 34 35
|
ghmlin |
|
37 |
22 31 33 36
|
syl3anc |
|
38 |
|
simp-4l |
|
39 |
|
eqid |
|
40 |
4 29 39
|
rhmmul |
|
41 |
38 24 28 40
|
syl3anc |
|
42 |
41
|
oveq1d |
|
43 |
37 42
|
eqtrd |
|
44 |
43
|
adantl4r |
|
45 |
44
|
adantl3r |
|
46 |
45
|
adantl3r |
|
47 |
46
|
adantl3r |
|
48 |
47
|
adantllr |
|
49 |
48
|
ad4ant13 |
|
50 |
|
simpr |
|
51 |
|
simpllr |
|
52 |
50 51
|
oveq12d |
|
53 |
|
simp-5r |
|
54 |
52 53
|
oveq12d |
|
55 |
49 54
|
eqtrd |
|
56 |
10
|
ad9antr |
|
57 |
16 25
|
syl |
|
58 |
57
|
ad9antr |
|
59 |
16
|
ad9antr |
|
60 |
|
simplr |
|
61 |
|
simp-4r |
|
62 |
|
simp-6r |
|
63 |
2 4 34 29
|
islidl |
|
64 |
63
|
simp3bi |
|
65 |
64
|
r19.21bi |
|
66 |
65
|
r19.21bi |
|
67 |
66
|
r19.21bi |
|
68 |
59 60 61 62 67
|
syl1111anc |
|
69 |
58 68
|
sseldd |
|
70 |
56 69 68
|
fnfvimad |
|
71 |
55 70
|
eqeltrrd |
|
72 |
5
|
ad2antrr |
|
73 |
72
|
ffund |
|
74 |
73
|
ad7antr |
|
75 |
5
|
fdmd |
|
76 |
75
|
imaeq2d |
|
77 |
|
imadmrn |
|
78 |
76 77
|
eqtr3di |
|
79 |
78
|
eqeq1d |
|
80 |
79
|
biimpar |
|
81 |
80
|
eleq2d |
|
82 |
81
|
biimpar |
|
83 |
82
|
adantlr |
|
84 |
83
|
ad6antr |
|
85 |
|
fvelima |
|
86 |
74 84 85
|
syl2anc |
|
87 |
71 86
|
r19.29a |
|
88 |
73
|
ad5antr |
|
89 |
|
simp-4r |
|
90 |
|
fvelima |
|
91 |
88 89 90
|
syl2anc |
|
92 |
87 91
|
r19.29a |
|
93 |
73
|
ad3antrrr |
|
94 |
|
simpr |
|
95 |
|
fvelima |
|
96 |
93 94 95
|
syl2anc |
|
97 |
92 96
|
r19.29a |
|
98 |
97
|
anasss |
|
99 |
98
|
ralrimivva |
|
100 |
99
|
ralrimiva |
|
101 |
3 1 35 39
|
islidl |
|
102 |
8 20 100 101
|
syl3anbrc |
|
103 |
102
|
3impa |
|