Step |
Hyp |
Ref |
Expression |
1 |
|
psrring.s |
|
2 |
|
psrring.i |
|
3 |
|
psrring.r |
|
4 |
|
psrass.d |
|
5 |
|
psrass.t |
|
6 |
|
psrass.b |
|
7 |
|
psrass.x |
|
8 |
|
psrass.y |
|
9 |
|
psrass23l.k |
|
10 |
|
psrass23l.n |
|
11 |
|
psrass23l.a |
|
12 |
|
eqid |
|
13 |
|
eqid |
|
14 |
11
|
adantr |
|
15 |
14 9
|
eleqtrdi |
|
16 |
15
|
adantr |
|
17 |
7
|
ad2antrr |
|
18 |
|
ssrab2 |
|
19 |
|
simpr |
|
20 |
18 19
|
sseldi |
|
21 |
1 10 12 6 13 4 16 17 20
|
psrvscaval |
|
22 |
21
|
oveq1d |
|
23 |
3
|
ad2antrr |
|
24 |
1 12 4 6 17
|
psrelbas |
|
25 |
24 20
|
ffvelrnd |
|
26 |
8
|
ad2antrr |
|
27 |
1 12 4 6 26
|
psrelbas |
|
28 |
2
|
ad2antrr |
|
29 |
|
simplr |
|
30 |
|
eqid |
|
31 |
4 30
|
psrbagconcl |
|
32 |
28 29 19 31
|
syl3anc |
|
33 |
18 32
|
sseldi |
|
34 |
27 33
|
ffvelrnd |
|
35 |
12 13
|
ringass |
|
36 |
23 16 25 34 35
|
syl13anc |
|
37 |
22 36
|
eqtrd |
|
38 |
37
|
mpteq2dva |
|
39 |
38
|
oveq2d |
|
40 |
|
eqid |
|
41 |
|
eqid |
|
42 |
3
|
adantr |
|
43 |
4
|
psrbaglefi |
|
44 |
2 43
|
sylan |
|
45 |
12 13
|
ringcl |
|
46 |
23 25 34 45
|
syl3anc |
|
47 |
|
ovex |
|
48 |
4 47
|
rabex2 |
|
49 |
48
|
mptrabex |
|
50 |
|
funmpt |
|
51 |
|
fvex |
|
52 |
49 50 51
|
3pm3.2i |
|
53 |
52
|
a1i |
|
54 |
|
suppssdm |
|
55 |
|
eqid |
|
56 |
55
|
dmmptss |
|
57 |
54 56
|
sstri |
|
58 |
57
|
a1i |
|
59 |
|
suppssfifsupp |
|
60 |
53 44 58 59
|
syl12anc |
|
61 |
12 40 41 13 42 44 15 46 60
|
gsummulc2 |
|
62 |
39 61
|
eqtrd |
|
63 |
62
|
mpteq2dva |
|
64 |
1 10 9 6 3 11 7
|
psrvscacl |
|
65 |
1 6 13 5 4 64 8
|
psrmulfval |
|
66 |
1 6 5 3 7 8
|
psrmulcl |
|
67 |
1 10 9 6 13 4 11 66
|
psrvsca |
|
68 |
48
|
a1i |
|
69 |
|
ovexd |
|
70 |
|
fconstmpt |
|
71 |
70
|
a1i |
|
72 |
1 6 13 5 4 7 8
|
psrmulfval |
|
73 |
68 14 69 71 72
|
offval2 |
|
74 |
67 73
|
eqtrd |
|
75 |
63 65 74
|
3eqtr4d |
|