Step |
Hyp |
Ref |
Expression |
1 |
|
addsasslem.1 |
|
2 |
|
addsasslem.2 |
|
3 |
|
addsasslem.3 |
|
4 |
|
lltropt |
|
5 |
4
|
a1i |
|
6 |
2 3
|
addscut |
|
7 |
6
|
simp2d |
|
8 |
6
|
simp3d |
|
9 |
|
ovex |
|
10 |
9
|
snnz |
|
11 |
|
sslttr |
|
12 |
10 11
|
mp3an3 |
|
13 |
7 8 12
|
syl2anc |
|
14 |
|
lrcut |
|
15 |
1 14
|
syl |
|
16 |
15
|
eqcomd |
|
17 |
|
addsval2 |
|
18 |
2 3 17
|
syl2anc |
|
19 |
5 13 16 18
|
addsunif |
|
20 |
|
rexun |
|
21 |
|
eqeq1 |
|
22 |
21
|
rexbidv |
|
23 |
22
|
rexab |
|
24 |
|
rexcom4 |
|
25 |
|
ovex |
|
26 |
|
oveq2 |
|
27 |
26
|
eqeq2d |
|
28 |
25 27
|
ceqsexv |
|
29 |
28
|
rexbii |
|
30 |
|
r19.41v |
|
31 |
30
|
exbii |
|
32 |
24 29 31
|
3bitr3ri |
|
33 |
23 32
|
bitri |
|
34 |
|
eqeq1 |
|
35 |
34
|
rexbidv |
|
36 |
35
|
rexab |
|
37 |
|
rexcom4 |
|
38 |
|
ovex |
|
39 |
|
oveq2 |
|
40 |
39
|
eqeq2d |
|
41 |
38 40
|
ceqsexv |
|
42 |
41
|
rexbii |
|
43 |
|
r19.41v |
|
44 |
43
|
exbii |
|
45 |
37 42 44
|
3bitr3ri |
|
46 |
36 45
|
bitri |
|
47 |
33 46
|
orbi12i |
|
48 |
20 47
|
bitri |
|
49 |
48
|
abbii |
|
50 |
|
unab |
|
51 |
|
eqeq1 |
|
52 |
51
|
rexbidv |
|
53 |
52
|
cbvabv |
|
54 |
53
|
uneq2i |
|
55 |
49 50 54
|
3eqtr2i |
|
56 |
55
|
uneq2i |
|
57 |
|
unass |
|
58 |
56 57
|
eqtr4i |
|
59 |
|
rexun |
|
60 |
|
eqeq1 |
|
61 |
60
|
rexbidv |
|
62 |
61
|
rexab |
|
63 |
|
rexcom4 |
|
64 |
|
ovex |
|
65 |
|
oveq2 |
|
66 |
65
|
eqeq2d |
|
67 |
64 66
|
ceqsexv |
|
68 |
67
|
rexbii |
|
69 |
|
r19.41v |
|
70 |
69
|
exbii |
|
71 |
63 68 70
|
3bitr3ri |
|
72 |
62 71
|
bitri |
|
73 |
|
eqeq1 |
|
74 |
73
|
rexbidv |
|
75 |
74
|
rexab |
|
76 |
|
rexcom4 |
|
77 |
|
ovex |
|
78 |
|
oveq2 |
|
79 |
78
|
eqeq2d |
|
80 |
77 79
|
ceqsexv |
|
81 |
80
|
rexbii |
|
82 |
|
r19.41v |
|
83 |
82
|
exbii |
|
84 |
76 81 83
|
3bitr3ri |
|
85 |
75 84
|
bitri |
|
86 |
72 85
|
orbi12i |
|
87 |
59 86
|
bitri |
|
88 |
87
|
abbii |
|
89 |
|
unab |
|
90 |
|
eqeq1 |
|
91 |
90
|
rexbidv |
|
92 |
91
|
cbvabv |
|
93 |
92
|
uneq2i |
|
94 |
88 89 93
|
3eqtr2i |
|
95 |
94
|
uneq2i |
|
96 |
|
unass |
|
97 |
95 96
|
eqtr4i |
|
98 |
58 97
|
oveq12i |
|
99 |
19 98
|
eqtrdi |
|