Step |
Hyp |
Ref |
Expression |
1 |
|
opelxpi |
|
2 |
|
ffvelrn |
|
3 |
1 2
|
sylan2 |
|
4 |
3
|
anassrs |
|
5 |
4
|
fmpttd |
|
6 |
5
|
3ad2antl1 |
|
7 |
|
elmapg |
|
8 |
7
|
ancoms |
|
9 |
8
|
3adant1 |
|
10 |
9
|
adantr |
|
11 |
6 10
|
mpbird |
|
12 |
11
|
fmpttd |
|
13 |
|
eldifsni |
|
14 |
|
df-cur |
|
15 |
|
fdm |
|
16 |
15
|
dmeqd |
|
17 |
|
dmxp |
|
18 |
16 17
|
sylan9eq |
|
19 |
18
|
mpteq1d |
|
20 |
|
ffun |
|
21 |
|
funbrfv2b |
|
22 |
20 21
|
syl |
|
23 |
15
|
eleq2d |
|
24 |
|
opelxp |
|
25 |
23 24
|
syl6bb |
|
26 |
25
|
anbi1d |
|
27 |
22 26
|
bitrd |
|
28 |
|
ibar |
|
29 |
|
anass |
|
30 |
|
eqcom |
|
31 |
30
|
anbi2i |
|
32 |
29 31
|
bitr3i |
|
33 |
28 32
|
bitr2di |
|
34 |
27 33
|
sylan9bb |
|
35 |
34
|
opabbidv |
|
36 |
|
df-mpt |
|
37 |
35 36
|
eqtr4di |
|
38 |
37
|
mpteq2dva |
|
39 |
38
|
adantr |
|
40 |
19 39
|
eqtrd |
|
41 |
14 40
|
syl5eq |
|
42 |
41
|
feq1d |
|
43 |
13 42
|
sylan2 |
|
44 |
43
|
3adant3 |
|
45 |
12 44
|
mpbird |
|