Step |
Hyp |
Ref |
Expression |
1 |
|
xpsds.t |
|
2 |
|
xpsds.x |
|
3 |
|
xpsds.y |
|
4 |
|
xpsds.1 |
|
5 |
|
xpsds.2 |
|
6 |
|
xpsds.p |
|
7 |
|
xpsds.m |
|
8 |
|
xpsds.n |
|
9 |
|
xpsds.3 |
|
10 |
|
xpsds.4 |
|
11 |
|
eqid |
|
12 |
|
eqid |
|
13 |
|
eqid |
|
14 |
|
eqid |
|
15 |
|
eqid |
|
16 |
|
fvexd |
|
17 |
|
2on |
|
18 |
17
|
a1i |
|
19 |
|
fvexd |
|
20 |
|
elpri |
|
21 |
|
df2o3 |
|
22 |
20 21
|
eleq2s |
|
23 |
9
|
adantr |
|
24 |
|
fveq2 |
|
25 |
|
fvpr0o |
|
26 |
4 25
|
syl |
|
27 |
24 26
|
sylan9eqr |
|
28 |
27
|
fveq2d |
|
29 |
27
|
fveq2d |
|
30 |
29 2
|
eqtr4di |
|
31 |
30
|
sqxpeqd |
|
32 |
28 31
|
reseq12d |
|
33 |
32 7
|
eqtr4di |
|
34 |
30
|
fveq2d |
|
35 |
23 33 34
|
3eltr4d |
|
36 |
10
|
adantr |
|
37 |
|
fveq2 |
|
38 |
|
fvpr1o |
|
39 |
5 38
|
syl |
|
40 |
37 39
|
sylan9eqr |
|
41 |
40
|
fveq2d |
|
42 |
40
|
fveq2d |
|
43 |
42 3
|
eqtr4di |
|
44 |
43
|
sqxpeqd |
|
45 |
41 44
|
reseq12d |
|
46 |
45 8
|
eqtr4di |
|
47 |
43
|
fveq2d |
|
48 |
36 46 47
|
3eltr4d |
|
49 |
35 48
|
jaodan |
|
50 |
22 49
|
sylan2 |
|
51 |
11 12 13 14 15 16 18 19 50
|
prdsxmet |
|
52 |
|
fnpr2o |
|
53 |
4 5 52
|
syl2anc |
|
54 |
|
dffn5 |
|
55 |
53 54
|
sylib |
|
56 |
55
|
oveq2d |
|
57 |
56
|
fveq2d |
|
58 |
|
eqid |
|
59 |
|
eqid |
|
60 |
|
eqid |
|
61 |
1 2 3 4 5 58 59 60
|
xpsrnbas |
|
62 |
56
|
fveq2d |
|
63 |
61 62
|
eqtrd |
|
64 |
63
|
fveq2d |
|
65 |
51 57 64
|
3eltr4d |
|