Step |
Hyp |
Ref |
Expression |
1 |
|
ssps.y |
|
2 |
|
ssps.s |
|
3 |
|
ssps.r |
|
4 |
|
ssps.h |
|
5 |
|
eqid |
|
6 |
5 2
|
nvsf |
|
7 |
6
|
ffund |
|
8 |
|
funres |
|
9 |
7 8
|
syl |
|
10 |
9
|
adantr |
|
11 |
4
|
sspnv |
|
12 |
1 3
|
nvsf |
|
13 |
11 12
|
syl |
|
14 |
13
|
ffnd |
|
15 |
|
fnresdm |
|
16 |
14 15
|
syl |
|
17 |
|
eqid |
|
18 |
|
eqid |
|
19 |
|
eqid |
|
20 |
|
eqid |
|
21 |
17 18 2 3 19 20 4
|
isssp |
|
22 |
21
|
simplbda |
|
23 |
22
|
simp2d |
|
24 |
|
ssres |
|
25 |
23 24
|
syl |
|
26 |
16 25
|
eqsstrrd |
|
27 |
10 14 26
|
3jca |
|
28 |
|
oprssov |
|
29 |
27 28
|
sylan |
|
30 |
29
|
eqcomd |
|
31 |
30
|
ralrimivva |
|
32 |
|
eqid |
|
33 |
31 32
|
jctil |
|
34 |
6
|
ffnd |
|
35 |
34
|
adantr |
|
36 |
|
ssid |
|
37 |
5 1 4
|
sspba |
|
38 |
|
xpss12 |
|
39 |
36 37 38
|
sylancr |
|
40 |
|
fnssres |
|
41 |
35 39 40
|
syl2anc |
|
42 |
|
eqfnov |
|
43 |
14 41 42
|
syl2anc |
|
44 |
33 43
|
mpbird |
|