Step |
Hyp |
Ref |
Expression |
1 |
|
usgrexmpl2.v |
|
2 |
|
usgrexmpl2.e |
|
3 |
|
usgrexmpl2.g |
|
4 |
|
1ex |
|
5 |
4
|
tpid2 |
|
6 |
5
|
orci |
|
7 |
|
elun |
|
8 |
6 7
|
mpbir |
|
9 |
1 2 3
|
usgrexmpl2nblem |
|
10 |
8 9
|
ax-mp |
|
11 |
|
c0ex |
|
12 |
11
|
tpid1 |
|
13 |
12
|
orci |
|
14 |
|
elun |
|
15 |
13 14
|
mpbir |
|
16 |
|
2ex |
|
17 |
16
|
tpid3 |
|
18 |
17
|
orci |
|
19 |
|
elun |
|
20 |
18 19
|
mpbir |
|
21 |
|
prssi |
|
22 |
|
1re |
|
23 |
|
vex |
|
24 |
22 23
|
pm3.2i |
|
25 |
|
3ex |
|
26 |
16 25
|
pm3.2i |
|
27 |
24 26
|
pm3.2i |
|
28 |
|
1ne2 |
|
29 |
|
1lt3 |
|
30 |
22 29
|
ltneii |
|
31 |
28 30
|
pm3.2i |
|
32 |
31
|
orci |
|
33 |
|
prneimg |
|
34 |
27 32 33
|
mp2 |
|
35 |
34
|
neii |
|
36 |
35
|
biorfri |
|
37 |
23
|
a1i |
|
38 |
|
elex |
|
39 |
37 38
|
preq2b |
|
40 |
11 39
|
ax-mp |
|
41 |
|
prcom |
|
42 |
41
|
eqeq2i |
|
43 |
40 42
|
bitr3i |
|
44 |
23
|
a1i |
|
45 |
|
elex |
|
46 |
44 45
|
preq2b |
|
47 |
46
|
bicomd |
|
48 |
16 47
|
ax-mp |
|
49 |
43 48
|
orbi12i |
|
50 |
|
df-3or |
|
51 |
36 49 50
|
3bitr4i |
|
52 |
|
4nn0 |
|
53 |
25 52
|
pm3.2i |
|
54 |
24 53
|
pm3.2i |
|
55 |
|
1lt4 |
|
56 |
22 55
|
ltneii |
|
57 |
30 56
|
pm3.2i |
|
58 |
57
|
orci |
|
59 |
|
prneimg |
|
60 |
54 58 59
|
mp2 |
|
61 |
60
|
neii |
|
62 |
|
5nn0 |
|
63 |
52 62
|
pm3.2i |
|
64 |
24 63
|
pm3.2i |
|
65 |
|
1lt5 |
|
66 |
22 65
|
ltneii |
|
67 |
56 66
|
pm3.2i |
|
68 |
67
|
orci |
|
69 |
|
prneimg |
|
70 |
64 68 69
|
mp2 |
|
71 |
70
|
neii |
|
72 |
11 62
|
pm3.2i |
|
73 |
24 72
|
pm3.2i |
|
74 |
|
ax-1ne0 |
|
75 |
74 66
|
pm3.2i |
|
76 |
75
|
orci |
|
77 |
|
prneimg |
|
78 |
73 76 77
|
mp2 |
|
79 |
78
|
neii |
|
80 |
61 71 79
|
3pm3.2ni |
|
81 |
80
|
biorfri |
|
82 |
11 25
|
pm3.2i |
|
83 |
24 82
|
pm3.2i |
|
84 |
74 30
|
pm3.2i |
|
85 |
84
|
orci |
|
86 |
|
prneimg |
|
87 |
83 85 86
|
mp2 |
|
88 |
87
|
neii |
|
89 |
88
|
biorfi |
|
90 |
51 81 89
|
3bitri |
|
91 |
23
|
elpr |
|
92 |
|
prex |
|
93 |
|
el7g |
|
94 |
92 93
|
ax-mp |
|
95 |
90 91 94
|
3bitr4i |
|
96 |
95
|
a1i |
|
97 |
21 96
|
eqrrabd |
|
98 |
97
|
eqcomd |
|
99 |
15 20 98
|
mp2an |
|
100 |
10 99
|
eqtri |
|