Step |
Hyp |
Ref |
Expression |
1 |
|
mirval.p |
|
2 |
|
mirval.d |
|
3 |
|
mirval.i |
|
4 |
|
mirval.l |
|
5 |
|
mirval.s |
|
6 |
|
mirval.g |
|
7 |
|
mirhl.m |
|
8 |
|
mirhl.k |
|
9 |
|
mirhl.a |
|
10 |
|
mirhl.x |
|
11 |
|
mirhl.y |
|
12 |
|
mirhl.z |
|
13 |
|
mirhl.1 |
|
14 |
6
|
adantr |
|
15 |
9
|
adantr |
|
16 |
10
|
adantr |
|
17 |
12
|
adantr |
|
18 |
|
simpr |
|
19 |
1 2 3 4 5 14 15 7 16 17 18
|
mireq |
|
20 |
1 3 8 10 11 12 6
|
ishlg |
|
21 |
13 20
|
mpbid |
|
22 |
21
|
simp1d |
|
23 |
22
|
adantr |
|
24 |
23
|
neneqd |
|
25 |
19 24
|
pm2.65da |
|
26 |
25
|
neqned |
|
27 |
6
|
adantr |
|
28 |
9
|
adantr |
|
29 |
11
|
adantr |
|
30 |
12
|
adantr |
|
31 |
|
simpr |
|
32 |
1 2 3 4 5 27 28 7 29 30 31
|
mireq |
|
33 |
21
|
simp2d |
|
34 |
33
|
adantr |
|
35 |
34
|
neneqd |
|
36 |
32 35
|
pm2.65da |
|
37 |
36
|
neqned |
|
38 |
21
|
simp3d |
|
39 |
6
|
adantr |
|
40 |
9
|
adantr |
|
41 |
12
|
adantr |
|
42 |
10
|
adantr |
|
43 |
11
|
adantr |
|
44 |
|
simpr |
|
45 |
1 2 3 4 5 39 40 7 41 42 43 44
|
mirbtwni |
|
46 |
45
|
ex |
|
47 |
6
|
adantr |
|
48 |
9
|
adantr |
|
49 |
12
|
adantr |
|
50 |
11
|
adantr |
|
51 |
10
|
adantr |
|
52 |
|
simpr |
|
53 |
1 2 3 4 5 47 48 7 49 50 51 52
|
mirbtwni |
|
54 |
53
|
ex |
|
55 |
46 54
|
orim12d |
|
56 |
38 55
|
mpd |
|
57 |
1 2 3 4 5 6 9 7 10
|
mircl |
|
58 |
1 2 3 4 5 6 9 7 11
|
mircl |
|
59 |
1 2 3 4 5 6 9 7 12
|
mircl |
|
60 |
1 3 8 57 58 59 6
|
ishlg |
|
61 |
26 37 56 60
|
mpbir3and |
|