Step |
Hyp |
Ref |
Expression |
1 |
|
decsmf.x |
|
2 |
|
decsmf.y |
|
3 |
|
decsmf.a |
|
4 |
|
decsmf.f |
|
5 |
|
decsmf.i |
|
6 |
|
decsmf.j |
|
7 |
|
decsmf.b |
|
8 |
|
nfv |
|
9 |
|
retop |
|
10 |
6 9
|
eqeltri |
|
11 |
10
|
a1i |
|
12 |
11 7
|
salgencld |
|
13 |
11 7
|
unisalgen2 |
|
14 |
6
|
unieqi |
|
15 |
14
|
a1i |
|
16 |
|
uniretop |
|
17 |
16
|
eqcomi |
|
18 |
17
|
a1i |
|
19 |
13 15 18
|
3eqtrrd |
|
20 |
3 19
|
sseqtrd |
|
21 |
|
nfv |
|
22 |
1 21
|
nfan |
|
23 |
|
nfv |
|
24 |
2 23
|
nfan |
|
25 |
3
|
adantr |
|
26 |
4
|
frexr |
|
27 |
26
|
adantr |
|
28 |
|
breq1 |
|
29 |
|
fveq2 |
|
30 |
29
|
breq2d |
|
31 |
28 30
|
imbi12d |
|
32 |
|
breq2 |
|
33 |
|
fveq2 |
|
34 |
33
|
breq1d |
|
35 |
32 34
|
imbi12d |
|
36 |
31 35
|
cbvral2vw |
|
37 |
5 36
|
sylib |
|
38 |
37
|
adantr |
|
39 |
38 36
|
sylibr |
|
40 |
|
rexr |
|
41 |
40
|
adantl |
|
42 |
|
eqid |
|
43 |
|
fveq2 |
|
44 |
43
|
breq2d |
|
45 |
44
|
cbvrabv |
|
46 |
45
|
supeq1i |
|
47 |
|
eqid |
|
48 |
|
eqid |
|
49 |
22 24 25 27 39 6 7 41 42 46 47 48
|
decsmflem |
|
50 |
12
|
elexd |
|
51 |
|
reex |
|
52 |
51
|
a1i |
|
53 |
52 3
|
ssexd |
|
54 |
|
elrest |
|
55 |
50 53 54
|
syl2anc |
|
56 |
55
|
adantr |
|
57 |
49 56
|
mpbird |
|
58 |
8 12 20 4 57
|
issmfgtd |
|