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 |
|
xpsmet.3 |
|
10 |
|
xpsmet.4 |
|
11 |
|
eqid |
|
12 |
|
eqid |
|
13 |
|
eqid |
|
14 |
1 2 3 4 5 11 12 13
|
xpsval |
|
15 |
1 2 3 4 5 11 12 13
|
xpsrnbas |
|
16 |
11
|
xpsff1o2 |
|
17 |
|
f1ocnv |
|
18 |
16 17
|
mp1i |
|
19 |
|
ovexd |
|
20 |
|
eqid |
|
21 |
|
eqid |
|
22 |
|
eqid |
|
23 |
|
eqid |
|
24 |
|
eqid |
|
25 |
|
eqid |
|
26 |
|
fvexd |
|
27 |
|
2onn |
|
28 |
|
nnfi |
|
29 |
27 28
|
mp1i |
|
30 |
|
fvexd |
|
31 |
|
elpri |
|
32 |
|
df2o3 |
|
33 |
31 32
|
eleq2s |
|
34 |
9
|
adantr |
|
35 |
|
fveq2 |
|
36 |
|
fvpr0o |
|
37 |
4 36
|
syl |
|
38 |
35 37
|
sylan9eqr |
|
39 |
38
|
fveq2d |
|
40 |
38
|
fveq2d |
|
41 |
40 2
|
eqtr4di |
|
42 |
41
|
sqxpeqd |
|
43 |
39 42
|
reseq12d |
|
44 |
43 7
|
eqtr4di |
|
45 |
41
|
fveq2d |
|
46 |
34 44 45
|
3eltr4d |
|
47 |
10
|
adantr |
|
48 |
|
fveq2 |
|
49 |
|
fvpr1o |
|
50 |
5 49
|
syl |
|
51 |
48 50
|
sylan9eqr |
|
52 |
51
|
fveq2d |
|
53 |
51
|
fveq2d |
|
54 |
53 3
|
eqtr4di |
|
55 |
54
|
sqxpeqd |
|
56 |
52 55
|
reseq12d |
|
57 |
56 8
|
eqtr4di |
|
58 |
54
|
fveq2d |
|
59 |
47 57 58
|
3eltr4d |
|
60 |
46 59
|
jaodan |
|
61 |
33 60
|
sylan2 |
|
62 |
21 22 23 24 25 26 29 30 61
|
prdsmet |
|
63 |
|
fnpr2o |
|
64 |
4 5 63
|
syl2anc |
|
65 |
|
dffn5 |
|
66 |
64 65
|
sylib |
|
67 |
66
|
oveq2d |
|
68 |
67
|
fveq2d |
|
69 |
67
|
fveq2d |
|
70 |
15 69
|
eqtrd |
|
71 |
70
|
fveq2d |
|
72 |
62 68 71
|
3eltr4d |
|
73 |
|
ssid |
|
74 |
|
metres2 |
|
75 |
72 73 74
|
sylancl |
|
76 |
14 15 18 19 20 6 75
|
imasf1omet |
|