Step |
Hyp |
Ref |
Expression |
1 |
|
prdsinvlem.y |
|
2 |
|
prdsinvlem.b |
|
3 |
|
prdsinvlem.p |
|
4 |
|
prdsinvlem.s |
|
5 |
|
prdsinvlem.i |
|
6 |
|
prdsinvlem.r |
|
7 |
|
prdsinvlem.f |
|
8 |
|
prdsinvlem.z |
|
9 |
|
prdsinvlem.n |
|
10 |
6
|
ffvelrnda |
|
11 |
4
|
adantr |
|
12 |
5
|
adantr |
|
13 |
6
|
ffnd |
|
14 |
13
|
adantr |
|
15 |
7
|
adantr |
|
16 |
|
simpr |
|
17 |
1 2 11 12 14 15 16
|
prdsbasprj |
|
18 |
|
eqid |
|
19 |
|
eqid |
|
20 |
18 19
|
grpinvcl |
|
21 |
10 17 20
|
syl2anc |
|
22 |
21
|
ralrimiva |
|
23 |
1 2 4 5 13
|
prdsbasmpt |
|
24 |
22 23
|
mpbird |
|
25 |
9 24
|
eqeltrid |
|
26 |
6
|
ffvelrnda |
|
27 |
4
|
adantr |
|
28 |
5
|
adantr |
|
29 |
13
|
adantr |
|
30 |
7
|
adantr |
|
31 |
|
simpr |
|
32 |
1 2 27 28 29 30 31
|
prdsbasprj |
|
33 |
|
eqid |
|
34 |
|
eqid |
|
35 |
|
eqid |
|
36 |
|
eqid |
|
37 |
33 34 35 36
|
grplinv |
|
38 |
26 32 37
|
syl2anc |
|
39 |
|
2fveq3 |
|
40 |
|
fveq2 |
|
41 |
39 40
|
fveq12d |
|
42 |
|
fvex |
|
43 |
41 9 42
|
fvmpt |
|
44 |
43
|
adantl |
|
45 |
44
|
oveq1d |
|
46 |
8
|
fveq1i |
|
47 |
|
fvco2 |
|
48 |
13 47
|
sylan |
|
49 |
46 48
|
syl5eq |
|
50 |
38 45 49
|
3eqtr4d |
|
51 |
50
|
mpteq2dva |
|
52 |
1 2 4 5 13 25 7 3
|
prdsplusgval |
|
53 |
|
fn0g |
|
54 |
|
ssv |
|
55 |
54
|
a1i |
|
56 |
|
fnco |
|
57 |
53 13 55 56
|
mp3an2i |
|
58 |
8
|
fneq1i |
|
59 |
57 58
|
sylibr |
|
60 |
|
dffn5 |
|
61 |
59 60
|
sylib |
|
62 |
51 52 61
|
3eqtr4d |
|
63 |
25 62
|
jca |
|