Step |
Hyp |
Ref |
Expression |
1 |
|
pwsle.y |
|
2 |
|
pwsle.v |
|
3 |
|
pwsle.o |
|
4 |
|
pwsle.l |
|
5 |
|
vex |
|
6 |
|
vex |
|
7 |
5 6
|
prss |
|
8 |
|
eqid |
|
9 |
1 8
|
pwsval |
|
10 |
9
|
fveq2d |
|
11 |
2 10
|
eqtrid |
|
12 |
11
|
sseq2d |
|
13 |
7 12
|
syl5bb |
|
14 |
13
|
anbi1d |
|
15 |
|
fvconst2g |
|
16 |
15
|
ad4ant14 |
|
17 |
16
|
fveq2d |
|
18 |
17 3
|
eqtr4di |
|
19 |
18
|
breqd |
|
20 |
19
|
ralbidva |
|
21 |
|
eqid |
|
22 |
|
simpll |
|
23 |
|
simplr |
|
24 |
|
simprl |
|
25 |
1 21 2 22 23 24
|
pwselbas |
|
26 |
25
|
ffnd |
|
27 |
|
simprr |
|
28 |
1 21 2 22 23 27
|
pwselbas |
|
29 |
28
|
ffnd |
|
30 |
|
inidm |
|
31 |
|
eqidd |
|
32 |
|
eqidd |
|
33 |
26 29 24 27 30 31 32
|
ofrfvalg |
|
34 |
20 33
|
bitr4d |
|
35 |
34
|
pm5.32da |
|
36 |
|
brinxp2 |
|
37 |
35 36
|
bitr4di |
|
38 |
14 37
|
bitr3d |
|
39 |
38
|
opabbidv |
|
40 |
9
|
fveq2d |
|
41 |
4 40
|
eqtrid |
|
42 |
|
eqid |
|
43 |
|
fvexd |
|
44 |
|
simpr |
|
45 |
|
snex |
|
46 |
|
xpexg |
|
47 |
44 45 46
|
sylancl |
|
48 |
|
eqid |
|
49 |
|
snnzg |
|
50 |
49
|
adantr |
|
51 |
|
dmxp |
|
52 |
50 51
|
syl |
|
53 |
|
eqid |
|
54 |
42 43 47 48 52 53
|
prdsle |
|
55 |
41 54
|
eqtrd |
|
56 |
|
relinxp |
|
57 |
56
|
a1i |
|
58 |
|
dfrel4v |
|
59 |
57 58
|
sylib |
|
60 |
39 55 59
|
3eqtr4d |
|