Step |
Hyp |
Ref |
Expression |
1 |
|
cnvordtrestixx.1 |
|
2 |
|
cnvordtrestixx.2 |
|
3 |
|
lern |
|
4 |
|
df-rn |
|
5 |
3 4
|
eqtri |
|
6 |
|
letsr |
|
7 |
|
cnvtsr |
|
8 |
6 7
|
ax-mp |
|
9 |
8
|
a1i |
|
10 |
1
|
a1i |
|
11 |
|
brcnvg |
|
12 |
11
|
adantlr |
|
13 |
|
simpr |
|
14 |
|
simplr |
|
15 |
|
brcnvg |
|
16 |
13 14 15
|
syl2anc |
|
17 |
12 16
|
anbi12d |
|
18 |
|
ancom |
|
19 |
17 18
|
syl6bb |
|
20 |
19
|
rabbidva |
|
21 |
|
simpr |
|
22 |
1 21
|
sseldi |
|
23 |
|
simpl |
|
24 |
1 23
|
sseldi |
|
25 |
|
iccval |
|
26 |
22 24 25
|
syl2anc |
|
27 |
2
|
ancoms |
|
28 |
26 27
|
eqsstrrd |
|
29 |
20 28
|
eqsstrd |
|
30 |
29
|
adantl |
|
31 |
5 9 10 30
|
ordtrest2 |
|
32 |
31
|
mptru |
|
33 |
|
tsrps |
|
34 |
6 33
|
ax-mp |
|
35 |
|
ordtcnv |
|
36 |
34 35
|
ax-mp |
|
37 |
36
|
oveq1i |
|
38 |
32 37
|
eqtr2i |
|