Step |
Hyp |
Ref |
Expression |
1 |
|
smfaddlem2.x |
|
2 |
|
smfaddlem2.s |
|
3 |
|
smfaddlem2.a |
|
4 |
|
smfaddlem2.b |
|
5 |
|
smfaddlem2.d |
|
6 |
|
smfaddlem2.m |
|
7 |
|
smfaddlem2.7 |
|
8 |
|
smfaddlem2.r |
|
9 |
|
smfaddlem2.k |
|
10 |
1 4 5 8 9
|
smfaddlem1 |
|
11 |
|
elinel1 |
|
12 |
11
|
adantl |
|
13 |
1 12
|
ssdf |
|
14 |
3 13
|
ssexd |
|
15 |
|
eqid |
|
16 |
2 14 15
|
subsalsal |
|
17 |
|
qct |
|
18 |
17
|
a1i |
|
19 |
16
|
adantr |
|
20 |
|
qex |
|
21 |
20
|
a1i |
|
22 |
9
|
a1i |
|
23 |
20
|
rabex |
|
24 |
23
|
a1i |
|
25 |
22 24
|
fvmpt2d |
|
26 |
|
ssrab2 |
|
27 |
25 26
|
eqsstrdi |
|
28 |
|
ssdomg |
|
29 |
21 27 28
|
sylc |
|
30 |
17
|
a1i |
|
31 |
|
domtr |
|
32 |
29 30 31
|
syl2anc |
|
33 |
|
inrab |
|
34 |
16
|
ad2antrr |
|
35 |
|
nfv |
|
36 |
1 35
|
nfan |
|
37 |
|
nfv |
|
38 |
36 37
|
nfan |
|
39 |
2
|
ad2antrr |
|
40 |
12 4
|
syldan |
|
41 |
40
|
ad4ant14 |
|
42 |
2 6 13
|
sssmfmpt |
|
43 |
42
|
ad2antrr |
|
44 |
|
qre |
|
45 |
44
|
ad2antlr |
|
46 |
38 39 41 43 45
|
smfpimltmpt |
|
47 |
|
elinel2 |
|
48 |
47
|
adantl |
|
49 |
48 5
|
syldan |
|
50 |
49
|
ad4ant14 |
|
51 |
1 48
|
ssdf |
|
52 |
2 7 51
|
sssmfmpt |
|
53 |
52
|
ad2antrr |
|
54 |
44
|
ssriv |
|
55 |
27
|
sselda |
|
56 |
54 55
|
sseldi |
|
57 |
38 39 50 53 56
|
smfpimltmpt |
|
58 |
34 46 57
|
salincld |
|
59 |
33 58
|
eqeltrrid |
|
60 |
19 32 59
|
saliuncl |
|
61 |
16 18 60
|
saliuncl |
|
62 |
10 61
|
eqeltrd |
|