Step |
Hyp |
Ref |
Expression |
1 |
|
setscom.1 |
|
2 |
|
setscom.2 |
|
3 |
|
rescom |
|
4 |
3
|
uneq1i |
|
5 |
4
|
uneq1i |
|
6 |
|
un23 |
|
7 |
5 6
|
eqtri |
|
8 |
|
setsval |
|
9 |
8
|
ad2ant2r |
|
10 |
9
|
reseq1d |
|
11 |
|
resundir |
|
12 |
|
elex |
|
13 |
12
|
ad2antrl |
|
14 |
|
opelxpi |
|
15 |
1 13 14
|
sylancr |
|
16 |
|
opex |
|
17 |
16
|
relsn |
|
18 |
15 17
|
sylibr |
|
19 |
|
dmsnopss |
|
20 |
|
disjsn2 |
|
21 |
20
|
ad2antlr |
|
22 |
|
disj2 |
|
23 |
21 22
|
sylib |
|
24 |
19 23
|
sstrid |
|
25 |
|
relssres |
|
26 |
18 24 25
|
syl2anc |
|
27 |
26
|
uneq2d |
|
28 |
11 27
|
syl5eq |
|
29 |
10 28
|
eqtrd |
|
30 |
29
|
uneq1d |
|
31 |
|
setsval |
|
32 |
31
|
reseq1d |
|
33 |
32
|
ad2ant2rl |
|
34 |
|
resundir |
|
35 |
|
elex |
|
36 |
35
|
ad2antll |
|
37 |
|
opelxpi |
|
38 |
2 36 37
|
sylancr |
|
39 |
|
opex |
|
40 |
39
|
relsn |
|
41 |
38 40
|
sylibr |
|
42 |
|
dmsnopss |
|
43 |
|
ssv |
|
44 |
|
ssv |
|
45 |
|
ssconb |
|
46 |
43 44 45
|
mp2an |
|
47 |
23 46
|
sylib |
|
48 |
42 47
|
sstrid |
|
49 |
|
relssres |
|
50 |
41 48 49
|
syl2anc |
|
51 |
50
|
uneq2d |
|
52 |
34 51
|
syl5eq |
|
53 |
33 52
|
eqtrd |
|
54 |
53
|
uneq1d |
|
55 |
7 30 54
|
3eqtr4a |
|
56 |
|
ovex |
|
57 |
|
simprr |
|
58 |
|
setsval |
|
59 |
56 57 58
|
sylancr |
|
60 |
|
ovex |
|
61 |
|
simprl |
|
62 |
|
setsval |
|
63 |
60 61 62
|
sylancr |
|
64 |
55 59 63
|
3eqtr4d |
|