Step |
Hyp |
Ref |
Expression |
1 |
|
peirce |
|
2 |
|
ax-1 |
|
3 |
1 2
|
ax-mp |
|
4 |
|
imim1 |
|
5 |
3 4
|
ax-mp |
|
6 |
|
peirce |
|
7 |
|
imim1 |
|
8 |
|
imim1 |
|
9 |
7 8
|
ax-mp |
|
10 |
6 9
|
ax-mp |
|
11 |
5 10
|
ax-mp |
|
12 |
|
imim1 |
|
13 |
|
imim1 |
|
14 |
12 13
|
ax-mp |
|
15 |
11 14
|
ax-mp |
|
16 |
|
imim1 |
|
17 |
|
imim1 |
|
18 |
16 17
|
ax-mp |
|
19 |
15 18
|
ax-mp |
|
20 |
|
imim1 |
|
21 |
|
imim1 |
|
22 |
20 21
|
ax-mp |
|
23 |
19 22
|
ax-mp |
|
24 |
|
peirce |
|
25 |
|
imim1 |
|
26 |
|
imim1 |
|
27 |
25 26
|
ax-mp |
|
28 |
24 27
|
ax-mp |
|
29 |
|
imim1 |
|
30 |
|
imim1 |
|
31 |
29 30
|
ax-mp |
|
32 |
28 31
|
ax-mp |
|
33 |
|
ax-1 |
|
34 |
|
imim1 |
|
35 |
33 34
|
ax-mp |
|
36 |
32 35
|
ax-mp |
|
37 |
|
imim1 |
|
38 |
|
imim1 |
|
39 |
37 38
|
ax-mp |
|
40 |
|
imim1 |
|
41 |
|
imim1 |
|
42 |
40 41
|
ax-mp |
|
43 |
39 42
|
ax-mp |
|
44 |
36 43
|
ax-mp |
|
45 |
23 44
|
ax-mp |
|
46 |
|
imim1 |
|
47 |
|
imim1 |
|
48 |
46 47
|
ax-mp |
|
49 |
45 48
|
ax-mp |
|
50 |
|
peirce |
|
51 |
|
imim1 |
|
52 |
|
imim1 |
|
53 |
51 52
|
ax-mp |
|
54 |
50 53
|
ax-mp |
|
55 |
|
imim1 |
|
56 |
|
imim1 |
|
57 |
55 56
|
ax-mp |
|
58 |
54 57
|
ax-mp |
|
59 |
|
ax-1 |
|
60 |
|
imim1 |
|
61 |
59 60
|
ax-mp |
|
62 |
58 61
|
ax-mp |
|
63 |
|
imim1 |
|
64 |
|
imim1 |
|
65 |
63 64
|
ax-mp |
|
66 |
|
imim1 |
|
67 |
|
imim1 |
|
68 |
66 67
|
ax-mp |
|
69 |
65 68
|
ax-mp |
|
70 |
62 69
|
ax-mp |
|
71 |
49 70
|
ax-mp |
|
72 |
|
imim1 |
|
73 |
|
imim1 |
|
74 |
72 73
|
ax-mp |
|
75 |
71 74
|
ax-mp |
|
76 |
|
peirce |
|
77 |
|
imim1 |
|
78 |
|
imim1 |
|
79 |
77 78
|
ax-mp |
|
80 |
76 79
|
ax-mp |
|
81 |
|
imim1 |
|
82 |
|
imim1 |
|
83 |
81 82
|
ax-mp |
|
84 |
80 83
|
ax-mp |
|
85 |
|
ax-1 |
|
86 |
|
imim1 |
|
87 |
85 86
|
ax-mp |
|
88 |
84 87
|
ax-mp |
|
89 |
|
imim1 |
|
90 |
|
imim1 |
|
91 |
89 90
|
ax-mp |
|
92 |
|
imim1 |
|
93 |
|
imim1 |
|
94 |
92 93
|
ax-mp |
|
95 |
91 94
|
ax-mp |
|
96 |
88 95
|
ax-mp |
|
97 |
75 96
|
ax-mp |
|