Step |
Hyp |
Ref |
Expression |
1 |
|
on2recs.1 |
|
2 |
|
df-ov |
|
3 |
|
opelxp |
|
4 |
|
eqid |
|
5 |
|
onfr |
|
6 |
5
|
a1i |
|
7 |
4 6 6
|
frxp2 |
|
8 |
7
|
mptru |
|
9 |
|
epweon |
|
10 |
|
weso |
|
11 |
|
sopo |
|
12 |
9 10 11
|
mp2b |
|
13 |
12
|
a1i |
|
14 |
4 13 13
|
poxp2 |
|
15 |
14
|
mptru |
|
16 |
|
epse |
|
17 |
16
|
a1i |
|
18 |
4 17 17
|
sexp2 |
|
19 |
18
|
mptru |
|
20 |
8 15 19
|
3pm3.2i |
|
21 |
1
|
fpr2 |
|
22 |
20 21
|
mpan |
|
23 |
3 22
|
sylbir |
|
24 |
2 23
|
syl5eq |
|
25 |
4
|
xpord2pred |
|
26 |
|
predon |
|
27 |
26
|
adantr |
|
28 |
27
|
uneq1d |
|
29 |
|
df-suc |
|
30 |
28 29
|
eqtr4di |
|
31 |
|
predon |
|
32 |
31
|
adantl |
|
33 |
32
|
uneq1d |
|
34 |
|
df-suc |
|
35 |
33 34
|
eqtr4di |
|
36 |
30 35
|
xpeq12d |
|
37 |
36
|
difeq1d |
|
38 |
25 37
|
eqtrd |
|
39 |
38
|
reseq2d |
|
40 |
39
|
oveq2d |
|
41 |
24 40
|
eqtrd |
|