Step |
Hyp |
Ref |
Expression |
1 |
|
rhmply1vr1.p |
|
2 |
|
rhmply1vr1.q |
|
3 |
|
rhmply1vr1.b |
|
4 |
|
rhmply1vr1.f |
|
5 |
|
rhmply1vr1.x |
|
6 |
|
rhmply1vr1.y |
|
7 |
|
rhmply1vr1.h |
|
8 |
|
coeq2 |
|
9 |
|
rhmrcl1 |
|
10 |
7 9
|
syl |
|
11 |
5 1 3
|
vr1cl |
|
12 |
10 11
|
syl |
|
13 |
5
|
fvexi |
|
14 |
13
|
a1i |
|
15 |
7 14
|
coexd |
|
16 |
4 8 12 15
|
fvmptd3 |
|
17 |
|
eqid |
|
18 |
|
eqid |
|
19 |
17 18
|
rhmf |
|
20 |
7 19
|
syl |
|
21 |
|
eqid |
|
22 |
17 21
|
ringidcl |
|
23 |
10 22
|
syl |
|
24 |
|
eqid |
|
25 |
17 24
|
ring0cl |
|
26 |
10 25
|
syl |
|
27 |
23 26
|
ifcld |
|
28 |
27
|
adantr |
|
29 |
20 28
|
cofmpt |
|
30 |
|
fvif |
|
31 |
|
eqid |
|
32 |
21 31
|
rhm1 |
|
33 |
7 32
|
syl |
|
34 |
|
rhmghm |
|
35 |
|
eqid |
|
36 |
24 35
|
ghmid |
|
37 |
7 34 36
|
3syl |
|
38 |
33 37
|
ifeq12d |
|
39 |
30 38
|
eqtrid |
|
40 |
39
|
mpteq2dv |
|
41 |
29 40
|
eqtrd |
|
42 |
|
eqid |
|
43 |
|
eqid |
|
44 |
|
1oex |
|
45 |
44
|
a1i |
|
46 |
|
0lt1o |
|
47 |
46
|
a1i |
|
48 |
42 43 24 21 45 10 47
|
mvrval |
|
49 |
48
|
coeq2d |
|
50 |
|
eqid |
|
51 |
|
rhmrcl2 |
|
52 |
7 51
|
syl |
|
53 |
50 43 35 31 45 52 47
|
mvrval |
|
54 |
41 49 53
|
3eqtr4d |
|
55 |
5
|
vr1val |
|
56 |
55
|
coeq2i |
|
57 |
6
|
vr1val |
|
58 |
54 56 57
|
3eqtr4g |
|
59 |
16 58
|
eqtrd |
|