Step |
Hyp |
Ref |
Expression |
1 |
|
issmfgelem.x |
|
2 |
|
issmfgelem.a |
|
3 |
|
issmfgelem.s |
|
4 |
|
issmfgelem.d |
|
5 |
|
issmfgelem.i |
|
6 |
|
issmfgelem.f |
|
7 |
|
issmfgelem.p |
|
8 |
3 5
|
restuni4 |
|
9 |
8
|
eqcomd |
|
10 |
9
|
rabeqdv |
|
11 |
10
|
adantr |
|
12 |
|
nfv |
|
13 |
1 12
|
nfan |
|
14 |
|
nfv |
|
15 |
2 14
|
nfan |
|
16 |
3
|
uniexd |
|
17 |
16
|
adantr |
|
18 |
|
simpr |
|
19 |
17 18
|
ssexd |
|
20 |
5 19
|
mpdan |
|
21 |
|
eqid |
|
22 |
3 20 21
|
subsalsal |
|
23 |
22
|
adantr |
|
24 |
|
eqid |
|
25 |
6
|
adantr |
|
26 |
|
simpr |
|
27 |
8
|
adantr |
|
28 |
26 27
|
eleqtrd |
|
29 |
25 28
|
ffvelrnd |
|
30 |
29
|
rexrd |
|
31 |
30
|
adantlr |
|
32 |
9
|
rabeqdv |
|
33 |
32
|
eleq1d |
|
34 |
2 33
|
ralbid |
|
35 |
7 34
|
mpbid |
|
36 |
35
|
adantr |
|
37 |
|
simpr |
|
38 |
|
rspa |
|
39 |
36 37 38
|
syl2anc |
|
40 |
39
|
adantlr |
|
41 |
|
simpr |
|
42 |
13 15 23 24 31 40 41
|
salpreimagelt |
|
43 |
11 42
|
eqeltrd |
|
44 |
43
|
ralrimiva |
|
45 |
5 6 44
|
3jca |
|
46 |
3 4
|
issmf |
|
47 |
45 46
|
mpbird |
|