Step |
Hyp |
Ref |
Expression |
1 |
|
fvoveq1 |
|
2 |
|
mat0dimbas0 |
|
3 |
1 2
|
sylan9eq |
|
4 |
3
|
eleq2d |
|
5 |
|
elsni |
|
6 |
4 5
|
syl6bi |
|
7 |
6
|
imdistanda |
|
8 |
7
|
impcom |
|
9 |
|
isfld |
|
10 |
9
|
simplbi |
|
11 |
|
drngring |
|
12 |
|
eqid |
|
13 |
12
|
mat0dimid |
|
14 |
|
0fin |
|
15 |
12
|
matring |
|
16 |
14 15
|
mpan |
|
17 |
|
eqid |
|
18 |
|
eqid |
|
19 |
17 18
|
1unit |
|
20 |
16 19
|
syl |
|
21 |
13 20
|
eqeltrrd |
|
22 |
10 11 21
|
3syl |
|
23 |
|
f0 |
|
24 |
|
dm0 |
|
25 |
24
|
feq2i |
|
26 |
23 25
|
mpbir |
|
27 |
|
rzal |
|
28 |
24 27
|
ax-mp |
|
29 |
|
ovex |
|
30 |
|
eqid |
|
31 |
|
eqid |
|
32 |
|
eqid |
|
33 |
|
eqid |
|
34 |
|
eqid |
|
35 |
|
eqid |
|
36 |
30 31 32 33 34 35
|
islindf |
|
37 |
29 14 36
|
mp2an |
|
38 |
26 28 37
|
mpbir2an |
|
39 |
38
|
a1i |
|
40 |
22 39
|
2thd |
|
41 |
|
fvoveq1 |
|
42 |
|
eleq12 |
|
43 |
41 42
|
sylan2 |
|
44 |
|
cureq |
|
45 |
|
df-cur |
|
46 |
24
|
dmeqi |
|
47 |
46 24
|
eqtri |
|
48 |
|
mpteq1 |
|
49 |
47 48
|
ax-mp |
|
50 |
|
mpt0 |
|
51 |
45 49 50
|
3eqtri |
|
52 |
44 51
|
eqtrdi |
|
53 |
|
oveq2 |
|
54 |
52 53
|
breqan12d |
|
55 |
43 54
|
bibi12d |
|
56 |
55
|
biimparc |
|
57 |
40 56
|
sylan |
|
58 |
57
|
anassrs |
|
59 |
8 58
|
sylancom |
|
60 |
9
|
simprbi |
|
61 |
|
eqid |
|
62 |
|
eqid |
|
63 |
|
eqid |
|
64 |
|
eqid |
|
65 |
|
eqid |
|
66 |
61 62 63 64 65
|
matunit |
|
67 |
60 66
|
sylan |
|
68 |
67
|
adantr |
|
69 |
|
eqid |
|
70 |
|
eqid |
|
71 |
69 65 70
|
drngunit |
|
72 |
10 71
|
syl |
|
73 |
72
|
adantr |
|
74 |
62 61 63 69
|
mdetcl |
|
75 |
60 74
|
sylan |
|
76 |
75
|
biantrurd |
|
77 |
73 76
|
bitr4d |
|
78 |
77
|
adantr |
|
79 |
61 63
|
matrcl |
|
80 |
79
|
simpld |
|
81 |
80
|
pm4.71i |
|
82 |
|
xpfi |
|
83 |
82
|
anidms |
|
84 |
|
eqid |
|
85 |
84 69
|
frlmfibas |
|
86 |
83 85
|
sylan2 |
|
87 |
61 84
|
matbas |
|
88 |
87
|
ancoms |
|
89 |
86 88
|
eqtrd |
|
90 |
89
|
eleq2d |
|
91 |
|
fvex |
|
92 |
|
elmapg |
|
93 |
91 83 92
|
sylancr |
|
94 |
93
|
adantl |
|
95 |
90 94
|
bitr3d |
|
96 |
95
|
ex |
|
97 |
96
|
pm5.32rd |
|
98 |
81 97
|
syl5bb |
|
99 |
98
|
biimpd |
|
100 |
99
|
imdistani |
|
101 |
|
anass |
|
102 |
100 101
|
sylibr |
|
103 |
|
eldifsn |
|
104 |
|
matunitlindflem1 |
|
105 |
104
|
necon1ad |
|
106 |
103 105
|
sylan2br |
|
107 |
106
|
anassrs |
|
108 |
102 107
|
sylan |
|
109 |
78 108
|
sylbid |
|
110 |
|
matunitlindflem2 |
|
111 |
110
|
ex |
|
112 |
109 111
|
impbid |
|
113 |
68 112
|
bitrd |
|
114 |
59 113
|
pm2.61dane |
|