Step |
Hyp |
Ref |
Expression |
1 |
|
eupth2.v |
|
2 |
|
eupth2.i |
|
3 |
|
eupth2.g |
|
4 |
|
eupth2.f |
|
5 |
|
eupth2.p |
|
6 |
|
eqid |
|
7 |
1 2 3 4 5 6
|
eupthvdres |
|
8 |
7
|
fveq1d |
|
9 |
8
|
breq2d |
|
10 |
9
|
notbid |
|
11 |
10
|
rabbidv |
|
12 |
|
eupthiswlk |
|
13 |
|
wlkcl |
|
14 |
5 12 13
|
3syl |
|
15 |
|
nn0re |
|
16 |
15
|
leidd |
|
17 |
|
breq1 |
|
18 |
|
oveq2 |
|
19 |
18
|
imaeq2d |
|
20 |
19
|
reseq2d |
|
21 |
20
|
opeq2d |
|
22 |
21
|
fveq2d |
|
23 |
22
|
fveq1d |
|
24 |
23
|
breq2d |
|
25 |
24
|
notbid |
|
26 |
25
|
rabbidv |
|
27 |
|
fveq2 |
|
28 |
27
|
eqeq2d |
|
29 |
27
|
preq2d |
|
30 |
28 29
|
ifbieq2d |
|
31 |
26 30
|
eqeq12d |
|
32 |
17 31
|
imbi12d |
|
33 |
32
|
imbi2d |
|
34 |
|
breq1 |
|
35 |
|
oveq2 |
|
36 |
35
|
imaeq2d |
|
37 |
36
|
reseq2d |
|
38 |
37
|
opeq2d |
|
39 |
38
|
fveq2d |
|
40 |
39
|
fveq1d |
|
41 |
40
|
breq2d |
|
42 |
41
|
notbid |
|
43 |
42
|
rabbidv |
|
44 |
|
fveq2 |
|
45 |
44
|
eqeq2d |
|
46 |
44
|
preq2d |
|
47 |
45 46
|
ifbieq2d |
|
48 |
43 47
|
eqeq12d |
|
49 |
34 48
|
imbi12d |
|
50 |
49
|
imbi2d |
|
51 |
|
breq1 |
|
52 |
|
oveq2 |
|
53 |
52
|
imaeq2d |
|
54 |
53
|
reseq2d |
|
55 |
54
|
opeq2d |
|
56 |
55
|
fveq2d |
|
57 |
56
|
fveq1d |
|
58 |
57
|
breq2d |
|
59 |
58
|
notbid |
|
60 |
59
|
rabbidv |
|
61 |
|
fveq2 |
|
62 |
61
|
eqeq2d |
|
63 |
61
|
preq2d |
|
64 |
62 63
|
ifbieq2d |
|
65 |
60 64
|
eqeq12d |
|
66 |
51 65
|
imbi12d |
|
67 |
66
|
imbi2d |
|
68 |
|
breq1 |
|
69 |
|
oveq2 |
|
70 |
69
|
imaeq2d |
|
71 |
70
|
reseq2d |
|
72 |
71
|
opeq2d |
|
73 |
72
|
fveq2d |
|
74 |
73
|
fveq1d |
|
75 |
74
|
breq2d |
|
76 |
75
|
notbid |
|
77 |
76
|
rabbidv |
|
78 |
|
fveq2 |
|
79 |
78
|
eqeq2d |
|
80 |
78
|
preq2d |
|
81 |
79 80
|
ifbieq2d |
|
82 |
77 81
|
eqeq12d |
|
83 |
68 82
|
imbi12d |
|
84 |
83
|
imbi2d |
|
85 |
1 2 3 4 5
|
eupth2lemb |
|
86 |
|
eqid |
|
87 |
86
|
iftruei |
|
88 |
85 87
|
eqtr4di |
|
89 |
88
|
a1d |
|
90 |
1 2 3 4 5
|
eupth2lems |
|
91 |
90
|
expcom |
|
92 |
91
|
a2d |
|
93 |
33 50 67 84 89 92
|
nn0ind |
|
94 |
16 93
|
mpid |
|
95 |
14 94
|
mpcom |
|
96 |
11 95
|
eqtr3d |
|