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 |
|
mirbtwnhl.1 |
|
14 |
|
mirbtwnhl.2 |
|
15 |
|
mirbtwnhl.3 |
|
16 |
|
simpr |
|
17 |
1 3 8 9 10 9 6
|
hleqnid |
|
18 |
17
|
adantr |
|
19 |
16 18
|
eqnbrtrd |
|
20 |
16
|
fveq2d |
|
21 |
1 2 3 4 5 6 9 7
|
mircinv |
|
22 |
21
|
adantr |
|
23 |
20 22
|
eqtrd |
|
24 |
1 3 8 9 11 9 6
|
hleqnid |
|
25 |
24
|
adantr |
|
26 |
23 25
|
eqnbrtrd |
|
27 |
19 26
|
2falsed |
|
28 |
|
simplr |
|
29 |
28
|
neneqd |
|
30 |
6
|
ad3antrrr |
|
31 |
9
|
ad3antrrr |
|
32 |
12
|
ad3antrrr |
|
33 |
|
simpr |
|
34 |
21
|
ad3antrrr |
|
35 |
33 34
|
eqtr4d |
|
36 |
1 2 3 4 5 30 31 7 32 31 35
|
mireq |
|
37 |
29 36
|
mtand |
|
38 |
37
|
neqned |
|
39 |
14
|
ad2antrr |
|
40 |
6
|
ad2antrr |
|
41 |
10
|
ad2antrr |
|
42 |
9
|
ad2antrr |
|
43 |
1 2 3 4 5 6 9 7 12
|
mircl |
|
44 |
43
|
ad2antrr |
|
45 |
11
|
ad2antrr |
|
46 |
13
|
ad2antrr |
|
47 |
12
|
ad2antrr |
|
48 |
1 3 8 12 10 9 6
|
ishlg |
|
49 |
48
|
adantr |
|
50 |
49
|
biimpa |
|
51 |
50
|
simp3d |
|
52 |
51
|
orcomd |
|
53 |
1 2 3 4 5 40 7 42 41 47 52
|
mirconn |
|
54 |
15
|
ad2antrr |
|
55 |
1 3 40 41 42 44 45 46 53 54
|
tgbtwnconn2 |
|
56 |
1 3 8 43 11 9 6
|
ishlg |
|
57 |
56
|
adantr |
|
58 |
57
|
adantr |
|
59 |
38 39 55 58
|
mpbir3and |
|
60 |
|
simplr |
|
61 |
13
|
ad2antrr |
|
62 |
6
|
ad2antrr |
|
63 |
11
|
ad2antrr |
|
64 |
9
|
ad2antrr |
|
65 |
12
|
ad2antrr |
|
66 |
10
|
ad2antrr |
|
67 |
14
|
ad2antrr |
|
68 |
21
|
ad2antrr |
|
69 |
43
|
ad2antrr |
|
70 |
1 2 3 4 5 62 64 7 63
|
mircl |
|
71 |
57
|
biimpa |
|
72 |
71
|
simp3d |
|
73 |
1 2 3 4 5 62 7 64 69 63 72
|
mirconn |
|
74 |
1 2 3 62 69 64 70 73
|
tgbtwncom |
|
75 |
68 74
|
eqeltrd |
|
76 |
1 2 3 4 5 62 64 7 63 64 65
|
mirbtwnb |
|
77 |
75 76
|
mpbird |
|
78 |
1 2 3 6 10 9 11 15
|
tgbtwncom |
|
79 |
78
|
ad2antrr |
|
80 |
1 3 62 63 64 65 66 67 77 79
|
tgbtwnconn2 |
|
81 |
49
|
adantr |
|
82 |
60 61 80 81
|
mpbir3and |
|
83 |
59 82
|
impbida |
|
84 |
27 83
|
pm2.61dane |
|