Step |
Hyp |
Ref |
Expression |
1 |
|
mapdh8a.h |
|
2 |
|
mapdh8a.u |
|
3 |
|
mapdh8a.v |
|
4 |
|
mapdh8a.s |
|
5 |
|
mapdh8a.o |
|
6 |
|
mapdh8a.n |
|
7 |
|
mapdh8a.c |
|
8 |
|
mapdh8a.d |
|
9 |
|
mapdh8a.r |
|
10 |
|
mapdh8a.q |
|
11 |
|
mapdh8a.j |
|
12 |
|
mapdh8a.m |
|
13 |
|
mapdh8a.i |
|
14 |
|
mapdh8a.k |
|
15 |
|
mapdh8h.f |
|
16 |
|
mapdh8h.mn |
|
17 |
|
mapdh9a.x |
|
18 |
|
mapdh9a.t |
|
19 |
14
|
3ad2ant1 |
|
20 |
15
|
3ad2ant1 |
|
21 |
16
|
3ad2ant1 |
|
22 |
17
|
3ad2ant1 |
|
23 |
|
eqid |
|
24 |
1 2 14
|
dvhlmod |
|
25 |
24
|
3ad2ant1 |
|
26 |
17
|
eldifad |
|
27 |
3 23 6 24 26 18
|
lspprcl |
|
28 |
27
|
3ad2ant1 |
|
29 |
|
simp2l |
|
30 |
|
simp3l |
|
31 |
5 23 25 28 29 30
|
lssneln0 |
|
32 |
|
simp2r |
|
33 |
|
simp3r |
|
34 |
5 23 25 28 32 33
|
lssneln0 |
|
35 |
1 2 14
|
dvhlvec |
|
36 |
35
|
3ad2ant1 |
|
37 |
26
|
3ad2ant1 |
|
38 |
18
|
3ad2ant1 |
|
39 |
3 6 36 29 37 38 30
|
lspindpi |
|
40 |
39
|
simpld |
|
41 |
40
|
necomd |
|
42 |
3 6 36 32 37 38 33
|
lspindpi |
|
43 |
42
|
simpld |
|
44 |
43
|
necomd |
|
45 |
39
|
simprd |
|
46 |
42
|
simprd |
|
47 |
1 2 3 4 5 6 7 8 9 10 11 12 13 19 20 21 22 31 34 41 44 45 46 38
|
mapdh8 |
|
48 |
47
|
3exp |
|
49 |
48
|
ralrimivv |
|
50 |
1 2 3 6 14 26 18
|
dvh3dim |
|
51 |
14
|
ad2antrr |
|
52 |
15
|
ad2antrr |
|
53 |
16
|
ad2antrr |
|
54 |
17
|
ad2antrr |
|
55 |
|
simplr |
|
56 |
35
|
ad2antrr |
|
57 |
26
|
ad2antrr |
|
58 |
18
|
ad2antrr |
|
59 |
|
simpr |
|
60 |
3 6 56 55 57 58 59
|
lspindpi |
|
61 |
60
|
simpld |
|
62 |
61
|
necomd |
|
63 |
10 13 1 12 2 3 4 5 6 7 8 9 11 51 52 53 54 55 62
|
mapdhcl |
|
64 |
|
eqidd |
|
65 |
24
|
ad2antrr |
|
66 |
27
|
ad2antrr |
|
67 |
5 23 65 66 55 59
|
lssneln0 |
|
68 |
10 13 1 12 2 3 4 5 6 7 8 9 11 51 52 53 54 67 63 62
|
mapdheq |
|
69 |
64 68
|
mpbid |
|
70 |
69
|
simpld |
|
71 |
60
|
simprd |
|
72 |
10 13 1 12 2 3 4 5 6 7 8 9 11 51 63 70 67 58 71
|
mapdhcl |
|
73 |
72
|
ex |
|
74 |
73
|
ancld |
|
75 |
74
|
reximdva |
|
76 |
50 75
|
mpd |
|
77 |
|
eleq1w |
|
78 |
77
|
notbid |
|
79 |
|
oteq1 |
|
80 |
|
oteq3 |
|
81 |
80
|
fveq2d |
|
82 |
81
|
oteq2d |
|
83 |
79 82
|
eqtrd |
|
84 |
83
|
fveq2d |
|
85 |
78 84
|
reusv3 |
|
86 |
76 85
|
syl |
|
87 |
49 86
|
mpbid |
|
88 |
|
reusv1 |
|
89 |
50 88
|
syl |
|
90 |
87 89
|
mpbird |
|