Step |
Hyp |
Ref |
Expression |
1 |
|
psrbag.d |
|
2 |
|
df-ofr |
|
3 |
2
|
relopabiv |
|
4 |
3
|
brrelex1i |
|
5 |
4
|
3ad2ant3 |
|
6 |
|
simp2 |
|
7 |
|
frnnn0suppg |
|
8 |
5 6 7
|
syl2anc |
|
9 |
|
eldifi |
|
10 |
|
simp3 |
|
11 |
6
|
ffnd |
|
12 |
1
|
psrbagf |
|
13 |
12
|
3ad2ant1 |
|
14 |
13
|
ffnd |
|
15 |
|
simp1 |
|
16 |
|
inidm |
|
17 |
|
eqidd |
|
18 |
|
eqidd |
|
19 |
11 14 5 15 16 17 18
|
ofrfvalg |
|
20 |
10 19
|
mpbid |
|
21 |
20
|
r19.21bi |
|
22 |
9 21
|
sylan2 |
|
23 |
|
frnnn0suppg |
|
24 |
15 13 23
|
syl2anc |
|
25 |
|
eqimss |
|
26 |
24 25
|
syl |
|
27 |
|
c0ex |
|
28 |
27
|
a1i |
|
29 |
13 26 15 28
|
suppssrg |
|
30 |
22 29
|
breqtrd |
|
31 |
|
ffvelrn |
|
32 |
6 9 31
|
syl2an |
|
33 |
32
|
nn0ge0d |
|
34 |
32
|
nn0red |
|
35 |
|
0re |
|
36 |
|
letri3 |
|
37 |
34 35 36
|
sylancl |
|
38 |
30 33 37
|
mpbir2and |
|
39 |
6 38
|
suppss |
|
40 |
8 39
|
eqsstrrd |
|