Step |
Hyp |
Ref |
Expression |
1 |
|
usgrexmpl2.v |
|
2 |
|
usgrexmpl2.e |
|
3 |
|
usgrexmpl2.g |
|
4 |
|
4re |
|
5 |
4
|
elexi |
|
6 |
5
|
tpid2 |
|
7 |
6
|
olci |
|
8 |
|
elun |
|
9 |
7 8
|
mpbir |
|
10 |
1 2 3
|
usgrexmpl2nblem |
|
11 |
9 10
|
ax-mp |
|
12 |
|
3ex |
|
13 |
12
|
tpid1 |
|
14 |
13
|
olci |
|
15 |
|
elun |
|
16 |
14 15
|
mpbir |
|
17 |
|
5re |
|
18 |
17
|
elexi |
|
19 |
18
|
tpid3 |
|
20 |
19
|
olci |
|
21 |
|
elun |
|
22 |
20 21
|
mpbir |
|
23 |
|
prssi |
|
24 |
|
vex |
|
25 |
4 24
|
pm3.2i |
|
26 |
|
c0ex |
|
27 |
26 17
|
pm3.2i |
|
28 |
25 27
|
pm3.2i |
|
29 |
|
4ne0 |
|
30 |
|
4lt5 |
|
31 |
4 30
|
ltneii |
|
32 |
29 31
|
pm3.2i |
|
33 |
32
|
orci |
|
34 |
|
prneimg |
|
35 |
28 33 34
|
mp2 |
|
36 |
35
|
neii |
|
37 |
36
|
biorfri |
|
38 |
|
prcom |
|
39 |
38
|
eqeq2i |
|
40 |
24
|
a1i |
|
41 |
|
id |
|
42 |
40 41
|
preq2b |
|
43 |
12 42
|
ax-mp |
|
44 |
39 43
|
bitri |
|
45 |
44
|
bicomi |
|
46 |
24
|
a1i |
|
47 |
|
id |
|
48 |
46 47
|
preq2b |
|
49 |
17 48
|
ax-mp |
|
50 |
49
|
bicomi |
|
51 |
45 50
|
orbi12i |
|
52 |
|
df-3or |
|
53 |
37 51 52
|
3bitr4i |
|
54 |
5 24
|
pm3.2i |
|
55 |
|
1re |
|
56 |
26 55
|
pm3.2i |
|
57 |
54 56
|
pm3.2i |
|
58 |
|
1lt4 |
|
59 |
55 58
|
gtneii |
|
60 |
29 59
|
pm3.2i |
|
61 |
60
|
orci |
|
62 |
|
prneimg |
|
63 |
57 61 62
|
mp2 |
|
64 |
63
|
neii |
|
65 |
|
2re |
|
66 |
55 65
|
pm3.2i |
|
67 |
25 66
|
pm3.2i |
|
68 |
|
2lt4 |
|
69 |
65 68
|
gtneii |
|
70 |
59 69
|
pm3.2i |
|
71 |
70
|
orci |
|
72 |
|
prneimg |
|
73 |
67 71 72
|
mp2 |
|
74 |
73
|
neii |
|
75 |
65 12
|
pm3.2i |
|
76 |
25 75
|
pm3.2i |
|
77 |
|
3re |
|
78 |
|
3lt4 |
|
79 |
77 78
|
gtneii |
|
80 |
69 79
|
pm3.2i |
|
81 |
80
|
orci |
|
82 |
|
prneimg |
|
83 |
76 81 82
|
mp2 |
|
84 |
83
|
neii |
|
85 |
64 74 84
|
3pm3.2ni |
|
86 |
85
|
biorfi |
|
87 |
53 86
|
bitri |
|
88 |
26 12
|
pm3.2i |
|
89 |
25 88
|
pm3.2i |
|
90 |
29 79
|
pm3.2i |
|
91 |
90
|
orci |
|
92 |
|
prneimg |
|
93 |
89 91 92
|
mp2 |
|
94 |
93
|
neii |
|
95 |
94
|
biorfi |
|
96 |
87 95
|
bitri |
|
97 |
24
|
elpr |
|
98 |
|
prex |
|
99 |
|
el7g |
|
100 |
98 99
|
ax-mp |
|
101 |
96 97 100
|
3bitr4i |
|
102 |
101
|
a1i |
|
103 |
23 102
|
eqrrabd |
|
104 |
103
|
eqcomd |
|
105 |
16 22 104
|
mp2an |
|
106 |
11 105
|
eqtri |
|