Step |
Hyp |
Ref |
Expression |
1 |
|
rrhf.d |
|
2 |
|
rrhf.j |
|
3 |
|
rrhf.b |
|
4 |
|
rrhf.k |
|
5 |
|
rrhf.z |
|
6 |
|
rrhf.1 |
|
7 |
|
rrhf.2 |
|
8 |
|
rrhf.3 |
|
9 |
|
rrhf.4 |
|
10 |
|
rrhf.5 |
|
11 |
|
rrhf.6 |
|
12 |
|
nrgngp |
|
13 |
|
ngpxms |
|
14 |
7 12 13
|
3syl |
|
15 |
|
xmstps |
|
16 |
14 15
|
syl |
|
17 |
2 4
|
rrhval |
|
18 |
16 17
|
syl |
|
19 |
|
rebase |
|
20 |
|
retopn |
|
21 |
2 20
|
eqtri |
|
22 |
|
eqid |
|
23 |
|
df-refld |
|
24 |
23
|
oveq1i |
|
25 |
|
reex |
|
26 |
|
qssre |
|
27 |
|
ressabs |
|
28 |
25 26 27
|
mp2an |
|
29 |
24 28
|
eqtr2i |
|
30 |
29
|
fveq2i |
|
31 |
|
eqid |
|
32 |
|
recms |
|
33 |
|
cmsms |
|
34 |
|
mstps |
|
35 |
32 33 34
|
mp2b |
|
36 |
35
|
a1i |
|
37 |
|
recusp |
|
38 |
|
cuspusp |
|
39 |
37 38
|
mp1i |
|
40 |
4 3 1
|
xmstopn |
|
41 |
14 40
|
syl |
|
42 |
3 1
|
xmsxmet |
|
43 |
|
eqid |
|
44 |
43
|
methaus |
|
45 |
14 42 44
|
3syl |
|
46 |
41 45
|
eqeltrd |
|
47 |
26
|
a1i |
|
48 |
|
eqid |
|
49 |
|
eqid |
|
50 |
1
|
fveq2i |
|
51 |
3 48 49 50 5 7 6 8 9
|
qqhucn |
|
52 |
11
|
eqcomd |
|
53 |
52
|
oveq2d |
|
54 |
51 53
|
eleqtrd |
|
55 |
2
|
fveq2i |
|
56 |
55
|
fveq1i |
|
57 |
|
qdensere |
|
58 |
56 57
|
eqtri |
|
59 |
58
|
a1i |
|
60 |
19 3 21 4 22 30 31 36 39 16 10 46 47 54 59
|
ucnextcn |
|
61 |
18 60
|
eqeltrd |
|