Step |
Hyp |
Ref |
Expression |
1 |
|
relres |
|
2 |
|
vex |
|
3 |
2
|
brresi |
|
4 |
3
|
simprbi |
|
5 |
|
vex |
|
6 |
5
|
brresi |
|
7 |
|
funpartlem |
|
8 |
7
|
anbi1i |
|
9 |
6 8
|
bitri |
|
10 |
|
df-br |
|
11 |
|
df-br |
|
12 |
10 11
|
anbi12i |
|
13 |
|
vex |
|
14 |
13 5
|
elimasn |
|
15 |
13 2
|
elimasn |
|
16 |
14 15
|
anbi12i |
|
17 |
12 16
|
bitr4i |
|
18 |
|
eleq2 |
|
19 |
|
eleq2 |
|
20 |
18 19
|
anbi12d |
|
21 |
|
velsn |
|
22 |
|
velsn |
|
23 |
|
equtr2 |
|
24 |
21 22 23
|
syl2anb |
|
25 |
20 24
|
syl6bi |
|
26 |
17 25
|
syl5bi |
|
27 |
26
|
exlimiv |
|
28 |
27
|
impl |
|
29 |
9 28
|
sylanb |
|
30 |
4 29
|
sylan2 |
|
31 |
30
|
gen2 |
|
32 |
31
|
ax-gen |
|
33 |
|
df-funpart |
|
34 |
33
|
funeqi |
|
35 |
|
dffun2 |
|
36 |
34 35
|
bitri |
|
37 |
1 32 36
|
mpbir2an |
|