Step |
Hyp |
Ref |
Expression |
1 |
|
f1osng |
|
2 |
1
|
anidms |
|
3 |
2
|
ad2antrr |
|
4 |
|
dfsn2 |
|
5 |
|
opeq2 |
|
6 |
|
opeq1 |
|
7 |
5 6
|
preq12d |
|
8 |
4 7
|
syl5eq |
|
9 |
|
dfsn2 |
|
10 |
|
preq2 |
|
11 |
9 10
|
syl5eq |
|
12 |
8 11 11
|
f1oeq123d |
|
13 |
12
|
adantl |
|
14 |
3 13
|
mpbid |
|
15 |
|
simpll |
|
16 |
|
simplr |
|
17 |
|
simpr |
|
18 |
|
fnprg |
|
19 |
15 16 16 15 17 18
|
syl221anc |
|
20 |
|
cnvsng |
|
21 |
|
cnvsng |
|
22 |
21
|
ancoms |
|
23 |
20 22
|
uneq12d |
|
24 |
|
uncom |
|
25 |
23 24
|
eqtrdi |
|
26 |
25
|
adantr |
|
27 |
|
df-pr |
|
28 |
27
|
cnveqi |
|
29 |
|
cnvun |
|
30 |
28 29
|
eqtri |
|
31 |
26 30 27
|
3eqtr4g |
|
32 |
31
|
fneq1d |
|
33 |
19 32
|
mpbird |
|
34 |
|
dff1o4 |
|
35 |
19 33 34
|
sylanbrc |
|
36 |
14 35
|
pm2.61dane |
|