Step |
Hyp |
Ref |
Expression |
1 |
|
smfpimltxr.x |
|
2 |
|
smfpimltxr.s |
|
3 |
|
smfpimltxr.f |
|
4 |
|
smfpimltxr.d |
|
5 |
|
smfpimltxr.a |
|
6 |
|
breq2 |
|
7 |
6
|
rabbidv |
|
8 |
7
|
adantl |
|
9 |
1 2 4
|
issmff |
|
10 |
3 9
|
mpbid |
|
11 |
10
|
simp2d |
|
12 |
1 11
|
pimltpnf2 |
|
13 |
12
|
adantr |
|
14 |
|
eqidd |
|
15 |
8 13 14
|
3eqtrd |
|
16 |
10
|
simp1d |
|
17 |
2 16
|
restuni4 |
|
18 |
17
|
eqcomd |
|
19 |
3
|
dmexd |
|
20 |
4 19
|
eqeltrid |
|
21 |
|
eqid |
|
22 |
2 20 21
|
subsalsal |
|
23 |
22
|
salunid |
|
24 |
18 23
|
eqeltrd |
|
25 |
24
|
adantr |
|
26 |
15 25
|
eqeltrd |
|
27 |
|
neqne |
|
28 |
27
|
adantl |
|
29 |
|
breq2 |
|
30 |
29
|
rabbidv |
|
31 |
30
|
adantl |
|
32 |
11
|
adantr |
|
33 |
1 32
|
pimltmnf2 |
|
34 |
31 33
|
eqtrd |
|
35 |
22
|
0sald |
|
36 |
35
|
adantr |
|
37 |
34 36
|
eqeltrd |
|
38 |
37
|
adantlr |
|
39 |
|
simpll |
|
40 |
39 5
|
syl |
|
41 |
|
neqne |
|
42 |
41
|
adantl |
|
43 |
|
simplr |
|
44 |
40 42 43
|
xrred |
|
45 |
2
|
adantr |
|
46 |
3
|
adantr |
|
47 |
|
simpr |
|
48 |
1 45 46 4 47
|
smfpreimaltf |
|
49 |
39 44 48
|
syl2anc |
|
50 |
38 49
|
pm2.61dan |
|
51 |
28 50
|
syldan |
|
52 |
26 51
|
pm2.61dan |
|