Step |
Hyp |
Ref |
Expression |
1 |
|
psrbag.d |
|
2 |
|
psrbagconf1o.s |
|
3 |
|
eqid |
|
4 |
|
simpll |
|
5 |
|
simplr |
|
6 |
|
simpr |
|
7 |
|
breq1 |
|
8 |
7 2
|
elrab2 |
|
9 |
6 8
|
sylib |
|
10 |
9
|
simpld |
|
11 |
1
|
psrbagfOLD |
|
12 |
4 10 11
|
syl2anc |
|
13 |
9
|
simprd |
|
14 |
1
|
psrbagconOLD |
|
15 |
4 5 12 13 14
|
syl13anc |
|
16 |
|
breq1 |
|
17 |
16 2
|
elrab2 |
|
18 |
15 17
|
sylibr |
|
19 |
18
|
ralrimiva |
|
20 |
|
oveq2 |
|
21 |
20
|
eleq1d |
|
22 |
21
|
rspccva |
|
23 |
19 22
|
sylan |
|
24 |
1
|
psrbagfOLD |
|
25 |
24
|
adantr |
|
26 |
25
|
ffvelrnda |
|
27 |
|
simpll |
|
28 |
2
|
ssrab3 |
|
29 |
|
simprr |
|
30 |
28 29
|
sselid |
|
31 |
1
|
psrbagfOLD |
|
32 |
27 30 31
|
syl2anc |
|
33 |
32
|
ffvelrnda |
|
34 |
12
|
adantrr |
|
35 |
34
|
ffvelrnda |
|
36 |
|
nn0cn |
|
37 |
|
nn0cn |
|
38 |
|
nn0cn |
|
39 |
|
subsub23 |
|
40 |
36 37 38 39
|
syl3an |
|
41 |
26 33 35 40
|
syl3anc |
|
42 |
|
eqcom |
|
43 |
|
eqcom |
|
44 |
41 42 43
|
3bitr4g |
|
45 |
25
|
ffnd |
|
46 |
32
|
ffnd |
|
47 |
|
inidm |
|
48 |
|
eqidd |
|
49 |
|
eqidd |
|
50 |
45 46 27 27 47 48 49
|
ofval |
|
51 |
50
|
eqeq2d |
|
52 |
34
|
ffnd |
|
53 |
|
eqidd |
|
54 |
45 52 27 27 47 48 53
|
ofval |
|
55 |
54
|
eqeq2d |
|
56 |
44 51 55
|
3bitr4d |
|
57 |
56
|
ralbidva |
|
58 |
23
|
adantrl |
|
59 |
28 58
|
sselid |
|
60 |
1
|
psrbagfOLD |
|
61 |
27 59 60
|
syl2anc |
|
62 |
61
|
ffnd |
|
63 |
|
eqfnfv |
|
64 |
52 62 63
|
syl2anc |
|
65 |
18
|
adantrr |
|
66 |
28 65
|
sselid |
|
67 |
1
|
psrbagfOLD |
|
68 |
27 66 67
|
syl2anc |
|
69 |
68
|
ffnd |
|
70 |
|
eqfnfv |
|
71 |
46 69 70
|
syl2anc |
|
72 |
57 64 71
|
3bitr4d |
|
73 |
3 18 23 72
|
f1o2d |
|