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 |
|
psrass.z |
|
10 |
|
psrdi.a |
|
11 |
|
eqid |
|
12 |
1 6 11 10 8 9
|
psradd |
|
13 |
12
|
fveq1d |
|
14 |
13
|
ad2antrr |
|
15 |
|
ssrab2 |
|
16 |
2
|
ad2antrr |
|
17 |
|
simplr |
|
18 |
|
simpr |
|
19 |
|
eqid |
|
20 |
4 19
|
psrbagconcl |
|
21 |
16 17 18 20
|
syl3anc |
|
22 |
15 21
|
sseldi |
|
23 |
|
eqid |
|
24 |
1 23 4 6 8
|
psrelbas |
|
25 |
24
|
ad2antrr |
|
26 |
25
|
ffnd |
|
27 |
1 23 4 6 9
|
psrelbas |
|
28 |
27
|
ad2antrr |
|
29 |
28
|
ffnd |
|
30 |
|
ovex |
|
31 |
4 30
|
rabex2 |
|
32 |
31
|
a1i |
|
33 |
|
inidm |
|
34 |
|
eqidd |
|
35 |
|
eqidd |
|
36 |
26 29 32 32 33 34 35
|
ofval |
|
37 |
22 36
|
mpdan |
|
38 |
14 37
|
eqtrd |
|
39 |
38
|
oveq2d |
|
40 |
3
|
ad2antrr |
|
41 |
1 23 4 6 7
|
psrelbas |
|
42 |
41
|
ad2antrr |
|
43 |
15 18
|
sseldi |
|
44 |
42 43
|
ffvelrnd |
|
45 |
25 22
|
ffvelrnd |
|
46 |
28 22
|
ffvelrnd |
|
47 |
|
eqid |
|
48 |
23 11 47
|
ringdi |
|
49 |
40 44 45 46 48
|
syl13anc |
|
50 |
39 49
|
eqtrd |
|
51 |
50
|
mpteq2dva |
|
52 |
4
|
psrbaglefi |
|
53 |
2 52
|
sylan |
|
54 |
23 47
|
ringcl |
|
55 |
40 44 45 54
|
syl3anc |
|
56 |
23 47
|
ringcl |
|
57 |
40 44 46 56
|
syl3anc |
|
58 |
|
eqidd |
|
59 |
|
eqidd |
|
60 |
53 55 57 58 59
|
offval2 |
|
61 |
51 60
|
eqtr4d |
|
62 |
61
|
oveq2d |
|
63 |
3
|
adantr |
|
64 |
|
ringcmn |
|
65 |
63 64
|
syl |
|
66 |
|
eqid |
|
67 |
|
eqid |
|
68 |
23 11 65 53 55 57 66 67
|
gsummptfidmadd2 |
|
69 |
62 68
|
eqtrd |
|
70 |
69
|
mpteq2dva |
|
71 |
|
ringgrp |
|
72 |
3 71
|
syl |
|
73 |
1 6 10 72 8 9
|
psraddcl |
|
74 |
1 6 47 5 4 7 73
|
psrmulfval |
|
75 |
1 6 5 3 7 8
|
psrmulcl |
|
76 |
1 6 5 3 7 9
|
psrmulcl |
|
77 |
1 6 11 10 75 76
|
psradd |
|
78 |
31
|
a1i |
|
79 |
|
ovexd |
|
80 |
|
ovexd |
|
81 |
1 6 47 5 4 7 8
|
psrmulfval |
|
82 |
1 6 47 5 4 7 9
|
psrmulfval |
|
83 |
78 79 80 81 82
|
offval2 |
|
84 |
77 83
|
eqtrd |
|
85 |
70 74 84
|
3eqtr4d |
|