Step |
Hyp |
Ref |
Expression |
1 |
|
usgrexmpl2.v |
|
2 |
|
usgrexmpl2.e |
|
3 |
|
usgrexmpl2.g |
|
4 |
|
3ex |
|
5 |
4
|
tpid1 |
|
6 |
5
|
olci |
|
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 |
|
4nn0 |
|
22 |
21
|
elexi |
|
23 |
22
|
tpid2 |
|
24 |
23
|
olci |
|
25 |
|
elun |
|
26 |
24 25
|
mpbir |
|
27 |
|
tpssi |
|
28 |
|
3orass |
|
29 |
|
vex |
|
30 |
29
|
eltp |
|
31 |
|
prex |
|
32 |
|
el7g |
|
33 |
31 32
|
ax-mp |
|
34 |
|
prcom |
|
35 |
34
|
eqeq2i |
|
36 |
29
|
a1i |
|
37 |
|
elex |
|
38 |
36 37
|
preq2b |
|
39 |
11 38
|
ax-mp |
|
40 |
35 39
|
bitri |
|
41 |
|
3orrot |
|
42 |
4 29
|
pm3.2i |
|
43 |
|
1re |
|
44 |
43 16
|
pm3.2i |
|
45 |
42 44
|
pm3.2i |
|
46 |
|
1lt3 |
|
47 |
43 46
|
gtneii |
|
48 |
|
2re |
|
49 |
|
2lt3 |
|
50 |
48 49
|
gtneii |
|
51 |
47 50
|
pm3.2i |
|
52 |
51
|
orci |
|
53 |
|
prneimg |
|
54 |
45 52 53
|
mp2 |
|
55 |
54
|
neii |
|
56 |
|
id |
|
57 |
11 43
|
pm3.2i |
|
58 |
42 57
|
pm3.2i |
|
59 |
|
3ne0 |
|
60 |
59 47
|
pm3.2i |
|
61 |
60
|
orci |
|
62 |
|
prneimg |
|
63 |
58 61 62
|
mp2 |
|
64 |
63
|
neii |
|
65 |
64
|
a1i |
|
66 |
56 65
|
3bior2fd |
|
67 |
55 66
|
ax-mp |
|
68 |
|
3orcomb |
|
69 |
67 68
|
bitri |
|
70 |
|
prcom |
|
71 |
70
|
eqeq2i |
|
72 |
29
|
a1i |
|
73 |
|
elex |
|
74 |
72 73
|
preq2b |
|
75 |
16 74
|
ax-mp |
|
76 |
71 75
|
bitri |
|
77 |
41 69 76
|
3bitr2i |
|
78 |
|
3orrot |
|
79 |
|
5nn0 |
|
80 |
21 79
|
pm3.2i |
|
81 |
42 80
|
pm3.2i |
|
82 |
|
3re |
|
83 |
|
3lt4 |
|
84 |
82 83
|
ltneii |
|
85 |
|
3lt5 |
|
86 |
82 85
|
ltneii |
|
87 |
84 86
|
pm3.2i |
|
88 |
87
|
orci |
|
89 |
|
prneimg |
|
90 |
81 88 89
|
mp2 |
|
91 |
90
|
neii |
|
92 |
|
id |
|
93 |
11 79
|
pm3.2i |
|
94 |
42 93
|
pm3.2i |
|
95 |
59 86
|
pm3.2i |
|
96 |
95
|
orci |
|
97 |
|
prneimg |
|
98 |
94 96 97
|
mp2 |
|
99 |
98
|
neii |
|
100 |
99
|
a1i |
|
101 |
92 100
|
3bior2fd |
|
102 |
91 101
|
ax-mp |
|
103 |
29
|
a1i |
|
104 |
|
elex |
|
105 |
103 104
|
preq2b |
|
106 |
21 105
|
ax-mp |
|
107 |
78 102 106
|
3bitr2i |
|
108 |
77 107
|
orbi12i |
|
109 |
40 108
|
orbi12i |
|
110 |
33 109
|
bitri |
|
111 |
28 30 110
|
3bitr4i |
|
112 |
111
|
a1i |
|
113 |
27 112
|
eqrrabd |
|
114 |
15 20 26 113
|
mp3an |
|
115 |
10 114
|
eqtr4i |
|