Step |
Hyp |
Ref |
Expression |
1 |
|
usgrexmpl2.v |
|
2 |
|
usgrexmpl2.e |
|
3 |
|
usgrexmpl2.g |
|
4 |
|
2ex |
|
5 |
4
|
tpid3 |
|
6 |
5
|
orci |
|
7 |
|
elun |
|
8 |
6 7
|
mpbir |
|
9 |
1 2 3
|
usgrexmpl2nblem |
|
10 |
8 9
|
ax-mp |
|
11 |
|
1ex |
|
12 |
11
|
tpid2 |
|
13 |
12
|
orci |
|
14 |
|
elun |
|
15 |
13 14
|
mpbir |
|
16 |
|
3ex |
|
17 |
16
|
tpid1 |
|
18 |
17
|
olci |
|
19 |
|
elun |
|
20 |
18 19
|
mpbir |
|
21 |
|
prssi |
|
22 |
|
vex |
|
23 |
4 22
|
pm3.2i |
|
24 |
|
c0ex |
|
25 |
24 11
|
pm3.2i |
|
26 |
23 25
|
pm3.2i |
|
27 |
|
2ne0 |
|
28 |
|
1ne2 |
|
29 |
28
|
necomi |
|
30 |
27 29
|
pm3.2i |
|
31 |
30
|
orci |
|
32 |
|
prneimg |
|
33 |
26 31 32
|
mp2 |
|
34 |
33
|
neii |
|
35 |
34
|
biorfi |
|
36 |
|
prcom |
|
37 |
36
|
eqeq2i |
|
38 |
22
|
a1i |
|
39 |
|
id |
|
40 |
38 39
|
preq2b |
|
41 |
11 40
|
ax-mp |
|
42 |
37 41
|
bitr2i |
|
43 |
|
3nn0 |
|
44 |
22
|
a1i |
|
45 |
|
id |
|
46 |
44 45
|
preq2b |
|
47 |
46
|
bicomd |
|
48 |
43 47
|
ax-mp |
|
49 |
42 48
|
orbi12i |
|
50 |
|
3orass |
|
51 |
35 49 50
|
3bitr4i |
|
52 |
|
2re |
|
53 |
52 22
|
pm3.2i |
|
54 |
|
4nn0 |
|
55 |
16 54
|
pm3.2i |
|
56 |
53 55
|
pm3.2i |
|
57 |
|
2lt3 |
|
58 |
52 57
|
ltneii |
|
59 |
|
2lt4 |
|
60 |
52 59
|
ltneii |
|
61 |
58 60
|
pm3.2i |
|
62 |
61
|
orci |
|
63 |
|
prneimg |
|
64 |
56 62 63
|
mp2 |
|
65 |
64
|
neii |
|
66 |
|
5nn0 |
|
67 |
54 66
|
pm3.2i |
|
68 |
53 67
|
pm3.2i |
|
69 |
|
2lt5 |
|
70 |
52 69
|
ltneii |
|
71 |
60 70
|
pm3.2i |
|
72 |
71
|
orci |
|
73 |
|
prneimg |
|
74 |
68 72 73
|
mp2 |
|
75 |
74
|
neii |
|
76 |
24 66
|
pm3.2i |
|
77 |
53 76
|
pm3.2i |
|
78 |
27 70
|
pm3.2i |
|
79 |
78
|
orci |
|
80 |
|
prneimg |
|
81 |
77 79 80
|
mp2 |
|
82 |
81
|
neii |
|
83 |
65 75 82
|
3pm3.2ni |
|
84 |
83
|
biorfri |
|
85 |
24 16
|
pm3.2i |
|
86 |
53 85
|
pm3.2i |
|
87 |
27 58
|
pm3.2i |
|
88 |
87
|
orci |
|
89 |
|
prneimg |
|
90 |
86 88 89
|
mp2 |
|
91 |
90
|
neii |
|
92 |
91
|
biorfi |
|
93 |
51 84 92
|
3bitri |
|
94 |
22
|
elpr |
|
95 |
|
prex |
|
96 |
|
el7g |
|
97 |
95 96
|
ax-mp |
|
98 |
93 94 97
|
3bitr4i |
|
99 |
98
|
a1i |
|
100 |
21 99
|
eqrrabd |
|
101 |
100
|
eqcomd |
|
102 |
15 20 101
|
mp2an |
|
103 |
10 102
|
eqtri |
|