Step |
Hyp |
Ref |
Expression |
1 |
|
mnuprdlem4.1 |
|
2 |
|
mnuprdlem4.2 |
|
3 |
|
mnuprdlem4.3 |
|
4 |
|
mnuprdlem4.4 |
|
5 |
|
mnuprdlem4.5 |
|
6 |
|
mnuprdlem4.6 |
|
7 |
1 3 4
|
mnu0eld |
|
8 |
1 3 7
|
mnusnd |
|
9 |
|
0ss |
|
10 |
|
ssid |
|
11 |
1 3 8 9 10
|
mnuprss2d |
|
12 |
1 3 4
|
mnusnd |
|
13 |
|
0ss |
|
14 |
|
ssid |
|
15 |
1 3 12 13 14
|
mnuprss2d |
|
16 |
|
0ss |
|
17 |
|
ssid |
|
18 |
1 3 5 16 17
|
mnuprss2d |
|
19 |
|
snsspr1 |
|
20 |
|
snsspr2 |
|
21 |
1 3 18 19 20
|
mnuprss2d |
|
22 |
15 21
|
prssd |
|
23 |
2 22
|
eqsstrid |
|
24 |
1 3 11 23
|
mnuop3d |
|
25 |
|
simprl |
|
26 |
|
eleq2w |
|
27 |
|
eleq2w |
|
28 |
26 27
|
anbi12d |
|
29 |
28
|
adantl |
|
30 |
4
|
adantr |
|
31 |
5
|
adantr |
|
32 |
|
nfv |
|
33 |
|
nfv |
|
34 |
|
nfra1 |
|
35 |
33 34
|
nfan |
|
36 |
32 35
|
nfan |
|
37 |
2 36
|
mnuprdlem3 |
|
38 |
|
ralim |
|
39 |
38
|
ad2antll |
|
40 |
37 39
|
mpd |
|
41 |
2 30 31 40
|
mnuprdlem1 |
|
42 |
6
|
adantr |
|
43 |
2 31 42 40
|
mnuprdlem2 |
|
44 |
41 43
|
jca |
|
45 |
25 29 44
|
rspcedvd |
|
46 |
24 45
|
rexlimddv |
|
47 |
3
|
adantr |
|
48 |
|
simprl |
|
49 |
|
simprrl |
|
50 |
|
simprrr |
|
51 |
49 50
|
prssd |
|
52 |
1 47 48 51
|
mnussd |
|
53 |
46 52
|
rexlimddv |
|