Step |
Hyp |
Ref |
Expression |
1 |
|
dvfcn |
|
2 |
|
dvbsss |
|
3 |
|
subcl |
|
4 |
3
|
ancoms |
|
5 |
|
efadd |
|
6 |
4 5
|
syldan |
|
7 |
|
pncan3 |
|
8 |
7
|
fveq2d |
|
9 |
6 8
|
eqtr3d |
|
10 |
9
|
mpteq2dva |
|
11 |
|
cnex |
|
12 |
11
|
a1i |
|
13 |
|
fvexd |
|
14 |
|
fvexd |
|
15 |
|
fconstmpt |
|
16 |
15
|
a1i |
|
17 |
|
eqidd |
|
18 |
12 13 14 16 17
|
offval2 |
|
19 |
|
eff |
|
20 |
19
|
a1i |
|
21 |
20
|
feqmptd |
|
22 |
10 18 21
|
3eqtr4d |
|
23 |
22
|
oveq2d |
|
24 |
|
efcl |
|
25 |
|
fconstg |
|
26 |
24 25
|
syl |
|
27 |
24
|
snssd |
|
28 |
26 27
|
fssd |
|
29 |
|
ssidd |
|
30 |
|
efcl |
|
31 |
4 30
|
syl |
|
32 |
31
|
fmpttd |
|
33 |
|
c0ex |
|
34 |
33
|
snid |
|
35 |
|
opelxpi |
|
36 |
34 35
|
mpan2 |
|
37 |
|
dvconst |
|
38 |
24 37
|
syl |
|
39 |
36 38
|
eleqtrrd |
|
40 |
|
df-br |
|
41 |
39 40
|
sylibr |
|
42 |
20 4
|
cofmpt |
|
43 |
42
|
oveq2d |
|
44 |
4
|
fmpttd |
|
45 |
|
oveq1 |
|
46 |
|
eqid |
|
47 |
|
ovex |
|
48 |
45 46 47
|
fvmpt |
|
49 |
|
subid |
|
50 |
48 49
|
eqtrd |
|
51 |
|
dveflem |
|
52 |
50 51
|
eqbrtrdi |
|
53 |
|
1ex |
|
54 |
53
|
snid |
|
55 |
|
opelxpi |
|
56 |
54 55
|
mpan2 |
|
57 |
|
cnelprrecn |
|
58 |
57
|
a1i |
|
59 |
|
simpr |
|
60 |
|
1cnd |
|
61 |
58
|
dvmptid |
|
62 |
|
simpl |
|
63 |
|
0cnd |
|
64 |
|
id |
|
65 |
58 64
|
dvmptc |
|
66 |
58 59 60 61 62 63 65
|
dvmptsub |
|
67 |
|
1m0e1 |
|
68 |
67
|
mpteq2i |
|
69 |
|
fconstmpt |
|
70 |
68 69
|
eqtr4i |
|
71 |
66 70
|
eqtrdi |
|
72 |
56 71
|
eleqtrrd |
|
73 |
|
df-br |
|
74 |
72 73
|
sylibr |
|
75 |
|
eqid |
|
76 |
20 29 44 29 29 29 52 74 75
|
dvcobr |
|
77 |
|
1t1e1 |
|
78 |
76 77
|
breqtrdi |
|
79 |
43 78
|
breqdi |
|
80 |
28 29 32 29 29 41 79 75
|
dvmulbr |
|
81 |
32 64
|
ffvelcdmd |
|
82 |
81
|
mul02d |
|
83 |
|
fvex |
|
84 |
83
|
fvconst2 |
|
85 |
84
|
oveq2d |
|
86 |
24
|
mullidd |
|
87 |
85 86
|
eqtrd |
|
88 |
82 87
|
oveq12d |
|
89 |
24
|
addlidd |
|
90 |
88 89
|
eqtrd |
|
91 |
80 90
|
breqtrd |
|
92 |
23 91
|
breqdi |
|
93 |
|
vex |
|
94 |
93 83
|
breldm |
|
95 |
92 94
|
syl |
|
96 |
95
|
ssriv |
|
97 |
2 96
|
eqssi |
|
98 |
97
|
feq2i |
|
99 |
1 98
|
mpbi |
|
100 |
99
|
a1i |
|
101 |
100
|
feqmptd |
|
102 |
|
ffun |
|
103 |
1 102
|
ax-mp |
|
104 |
|
funbrfv |
|
105 |
103 92 104
|
mpsyl |
|
106 |
105
|
mpteq2ia |
|
107 |
101 106
|
eqtrdi |
|
108 |
19
|
a1i |
|
109 |
108
|
feqmptd |
|
110 |
107 109
|
eqtr4d |
|
111 |
110
|
mptru |
|