Step |
Hyp |
Ref |
Expression |
1 |
|
cnreeu.r |
|
2 |
|
cnreeu.s |
|
3 |
|
cnreeu.t |
|
4 |
|
cnreeu.u |
|
5 |
|
oveq1 |
|
6 |
5
|
oveq2d |
|
7 |
1
|
recnd |
|
8 |
|
ax-icn |
|
9 |
8
|
a1i |
|
10 |
2
|
recnd |
|
11 |
9 10
|
mulcld |
|
12 |
|
rernegcl |
|
13 |
2 12
|
syl |
|
14 |
13
|
recnd |
|
15 |
9 14
|
mulcld |
|
16 |
7 11 15
|
addassd |
|
17 |
|
renegid |
|
18 |
2 17
|
syl |
|
19 |
18
|
oveq2d |
|
20 |
9 10 14
|
adddid |
|
21 |
|
sn-it0e0 |
|
22 |
21
|
a1i |
|
23 |
19 20 22
|
3eqtr3d |
|
24 |
23
|
oveq2d |
|
25 |
|
readdid1 |
|
26 |
1 25
|
syl |
|
27 |
16 24 26
|
3eqtrd |
|
28 |
27
|
oveq2d |
|
29 |
|
rernegcl |
|
30 |
3 29
|
syl |
|
31 |
30
|
recnd |
|
32 |
3
|
recnd |
|
33 |
4
|
recnd |
|
34 |
9 33
|
mulcld |
|
35 |
31 32 34
|
addassd |
|
36 |
35
|
oveq1d |
|
37 |
|
sn-addid2 |
|
38 |
34 37
|
syl |
|
39 |
38
|
oveq1d |
|
40 |
|
renegid2 |
|
41 |
3 40
|
syl |
|
42 |
41
|
oveq1d |
|
43 |
42
|
oveq1d |
|
44 |
9 33 14
|
adddid |
|
45 |
39 43 44
|
3eqtr4d |
|
46 |
32 34
|
addcld |
|
47 |
31 46 15
|
addassd |
|
48 |
36 45 47
|
3eqtr3rd |
|
49 |
28 48
|
eqeq12d |
|
50 |
49
|
biimpa |
|
51 |
|
simpr |
|
52 |
4
|
adantr |
|
53 |
13
|
adantr |
|
54 |
52 53
|
readdcld |
|
55 |
30
|
adantr |
|
56 |
1
|
adantr |
|
57 |
55 56
|
readdcld |
|
58 |
51 57
|
eqeltrrd |
|
59 |
|
itrere |
|
60 |
59
|
biimpa |
|
61 |
54 58 60
|
syl2anc |
|
62 |
61
|
oveq2d |
|
63 |
21
|
a1i |
|
64 |
51 62 63
|
3eqtrd |
|
65 |
|
oveq2 |
|
66 |
65
|
adantl |
|
67 |
|
renegid |
|
68 |
3 67
|
syl |
|
69 |
68
|
adantr |
|
70 |
69
|
oveq1d |
|
71 |
32
|
adantr |
|
72 |
31
|
adantr |
|
73 |
7
|
adantr |
|
74 |
71 72 73
|
addassd |
|
75 |
|
readdid2 |
|
76 |
1 75
|
syl |
|
77 |
76
|
adantr |
|
78 |
70 74 77
|
3eqtr3d |
|
79 |
3
|
adantr |
|
80 |
|
readdid1 |
|
81 |
79 80
|
syl |
|
82 |
66 78 81
|
3eqtr3d |
|
83 |
64 82
|
syldan |
|
84 |
33 14 10
|
addassd |
|
85 |
|
renegid2 |
|
86 |
2 85
|
syl |
|
87 |
86
|
oveq2d |
|
88 |
|
readdid1 |
|
89 |
4 88
|
syl |
|
90 |
84 87 89
|
3eqtrd |
|
91 |
|
oveq1 |
|
92 |
90 91
|
sylan9req |
|
93 |
|
readdid2 |
|
94 |
2 93
|
syl |
|
95 |
94
|
adantr |
|
96 |
92 95
|
eqtr2d |
|
97 |
61 96
|
syldan |
|
98 |
83 97
|
jca |
|
99 |
50 98
|
syldan |
|
100 |
99
|
ex |
|
101 |
6 100
|
syl5 |
|
102 |
|
id |
|
103 |
|
oveq2 |
|
104 |
102 103
|
oveqan12d |
|
105 |
101 104
|
impbid1 |
|