Step |
Hyp |
Ref |
Expression |
1 |
|
funres |
|
2 |
1
|
adantl |
|
3 |
2
|
adantr |
|
4 |
|
funsng |
|
5 |
4
|
adantl |
|
6 |
|
dmres |
|
7 |
6
|
ineq1i |
|
8 |
|
in32 |
|
9 |
|
disjdifr |
|
10 |
9
|
ineq1i |
|
11 |
|
0in |
|
12 |
8 10 11
|
3eqtri |
|
13 |
7 12
|
eqtri |
|
14 |
13
|
a1i |
|
15 |
|
funun |
|
16 |
3 5 14 15
|
syl21anc |
|
17 |
|
difundir |
|
18 |
|
resdifcom |
|
19 |
18
|
a1i |
|
20 |
|
elex |
|
21 |
|
elex |
|
22 |
20 21
|
anim12i |
|
23 |
|
opnz |
|
24 |
22 23
|
sylibr |
|
25 |
24
|
adantl |
|
26 |
|
disjsn2 |
|
27 |
|
disjdif2 |
|
28 |
25 26 27
|
3syl |
|
29 |
19 28
|
uneq12d |
|
30 |
17 29
|
eqtrid |
|
31 |
30
|
funeqd |
|
32 |
16 31
|
mpbird |
|
33 |
|
opex |
|
34 |
33
|
a1i |
|
35 |
|
setsvalg |
|
36 |
34 35
|
sylan2 |
|
37 |
36
|
difeq1d |
|
38 |
37
|
funeqd |
|
39 |
38
|
adantr |
|
40 |
32 39
|
mpbird |
|