Step |
Hyp |
Ref |
Expression |
1 |
|
fpwwe2.1 |
|
2 |
|
fpwwe2.2 |
|
3 |
|
fpwwe2.3 |
|
4 |
|
fpwwe2.4 |
|
5 |
1
|
relopabi |
|
6 |
5
|
a1i |
|
7 |
|
simprr |
|
8 |
1 2
|
fpwwe2lem2 |
|
9 |
8
|
simprbda |
|
10 |
9
|
simprd |
|
11 |
10
|
adantrl |
|
12 |
11
|
adantr |
|
13 |
|
df-ss |
|
14 |
12 13
|
sylib |
|
15 |
7 14
|
eqtrd |
|
16 |
|
simprr |
|
17 |
1 2
|
fpwwe2lem2 |
|
18 |
17
|
simprbda |
|
19 |
18
|
simprd |
|
20 |
19
|
adantrr |
|
21 |
20
|
adantr |
|
22 |
|
df-ss |
|
23 |
21 22
|
sylib |
|
24 |
16 23
|
eqtr2d |
|
25 |
2
|
adantr |
|
26 |
3
|
adantlr |
|
27 |
|
simprl |
|
28 |
|
simprr |
|
29 |
1 25 26 27 28
|
fpwwe2lem9 |
|
30 |
15 24 29
|
mpjaodan |
|
31 |
30
|
ex |
|
32 |
31
|
alrimiv |
|
33 |
32
|
alrimivv |
|
34 |
|
dffun2 |
|
35 |
6 33 34
|
sylanbrc |
|
36 |
35
|
funfnd |
|
37 |
|
vex |
|
38 |
37
|
elrn |
|
39 |
5
|
releldmi |
|
40 |
39
|
adantl |
|
41 |
|
elssuni |
|
42 |
40 41
|
syl |
|
43 |
42 4
|
sseqtrrdi |
|
44 |
|
xpss12 |
|
45 |
43 43 44
|
syl2anc |
|
46 |
19 45
|
sstrd |
|
47 |
46
|
ex |
|
48 |
|
velpw |
|
49 |
47 48
|
syl6ibr |
|
50 |
49
|
exlimdv |
|
51 |
38 50
|
syl5bi |
|
52 |
51
|
ssrdv |
|
53 |
|
df-f |
|
54 |
36 52 53
|
sylanbrc |
|