| Step |
Hyp |
Ref |
Expression |
| 1 |
|
redvabs.d |
|
| 2 |
|
partfun |
|
| 3 |
|
reelprrecn |
|
| 4 |
3
|
a1i |
|
| 5 |
|
inss1 |
|
| 6 |
|
difss |
|
| 7 |
1 6
|
eqsstri |
|
| 8 |
|
ax-resscn |
|
| 9 |
7 8
|
sstri |
|
| 10 |
5 9
|
sstri |
|
| 11 |
10
|
sseli |
|
| 12 |
11
|
adantl |
|
| 13 |
|
1cnd |
|
| 14 |
8
|
a1i |
|
| 15 |
14
|
sselda |
|
| 16 |
|
1red |
|
| 17 |
4
|
dvmptid |
|
| 18 |
|
ssinss1 |
|
| 19 |
7 18
|
mp1i |
|
| 20 |
|
tgioo4 |
|
| 21 |
|
eqid |
|
| 22 |
1
|
eleq2i |
|
| 23 |
|
eldifsn |
|
| 24 |
22 23
|
bitri |
|
| 25 |
|
vex |
|
| 26 |
|
breq1 |
|
| 27 |
25 26
|
elab |
|
| 28 |
24 27
|
anbi12i |
|
| 29 |
|
lt0ne0 |
|
| 30 |
29
|
expcom |
|
| 31 |
30
|
pm4.71d |
|
| 32 |
31
|
bicomd |
|
| 33 |
32
|
pm5.32ri |
|
| 34 |
28 33
|
bitri |
|
| 35 |
|
elin |
|
| 36 |
|
0xr |
|
| 37 |
|
elioomnf |
|
| 38 |
36 37
|
ax-mp |
|
| 39 |
34 35 38
|
3bitr4i |
|
| 40 |
39
|
eqriv |
|
| 41 |
|
iooretop |
|
| 42 |
40 41
|
eqeltri |
|
| 43 |
42
|
a1i |
|
| 44 |
4 15 16 17 19 20 21 43
|
dvmptres |
|
| 45 |
4 12 13 44
|
dvmptneg |
|
| 46 |
45
|
mptru |
|
| 47 |
7
|
a1i |
|
| 48 |
47
|
ssdifssd |
|
| 49 |
27
|
notbii |
|
| 50 |
24 49
|
anbi12i |
|
| 51 |
|
anass |
|
| 52 |
|
elre0re |
|
| 53 |
|
id |
|
| 54 |
52 53
|
lttrid |
|
| 55 |
|
ioran |
|
| 56 |
|
nesym |
|
| 57 |
56
|
bicomi |
|
| 58 |
55 57
|
bianbi |
|
| 59 |
54 58
|
bitr2di |
|
| 60 |
59
|
pm5.32i |
|
| 61 |
50 51 60
|
3bitri |
|
| 62 |
|
eldif |
|
| 63 |
|
repos |
|
| 64 |
61 62 63
|
3bitr4i |
|
| 65 |
64
|
eqriv |
|
| 66 |
|
iooretop |
|
| 67 |
65 66
|
eqeltri |
|
| 68 |
67
|
a1i |
|
| 69 |
4 15 16 17 48 20 21 68
|
dvmptres |
|
| 70 |
69
|
mptru |
|
| 71 |
46 70
|
uneq12i |
|
| 72 |
12
|
negcld |
|
| 73 |
72
|
fmpttd |
|
| 74 |
|
ssdifss |
|
| 75 |
7 74
|
ax-mp |
|
| 76 |
75 8
|
sstri |
|
| 77 |
76
|
a1i |
|
| 78 |
77
|
sselda |
|
| 79 |
78
|
fmpttd |
|
| 80 |
|
inindif |
|
| 81 |
80
|
a1i |
|
| 82 |
|
retop |
|
| 83 |
|
isopn3i |
|
| 84 |
82 42 83
|
mp2an |
|
| 85 |
|
isopn3i |
|
| 86 |
82 67 85
|
mp2an |
|
| 87 |
84 86
|
uneq12i |
|
| 88 |
|
unopn |
|
| 89 |
82 42 67 88
|
mp3an |
|
| 90 |
|
isopn3i |
|
| 91 |
82 89 90
|
mp2an |
|
| 92 |
87 91
|
eqtr4i |
|
| 93 |
92
|
a1i |
|
| 94 |
20 21 14 73 79 19 48 81 93
|
dvun |
|
| 95 |
94
|
mptru |
|
| 96 |
2 71 95
|
3eqtr2ri |
|
| 97 |
|
partfun |
|
| 98 |
|
elioore |
|
| 99 |
|
0red |
|
| 100 |
38
|
simprbi |
|
| 101 |
98 99 100
|
ltled |
|
| 102 |
98 101
|
absnidd |
|
| 103 |
102
|
eqcomd |
|
| 104 |
103 40
|
eleq2s |
|
| 105 |
35 104
|
sylbir |
|
| 106 |
|
rpabsid |
|
| 107 |
106
|
eqcomd |
|
| 108 |
|
ioorp |
|
| 109 |
107 108
|
eleq2s |
|
| 110 |
109 65
|
eleq2s |
|
| 111 |
62 110
|
sylbir |
|
| 112 |
105 111
|
ifeqda |
|
| 113 |
112
|
mpteq2ia |
|
| 114 |
97 113
|
eqtr3i |
|
| 115 |
114
|
oveq2i |
|
| 116 |
|
eqid |
|
| 117 |
27 116
|
ifbieq2i |
|
| 118 |
117
|
mpteq2i |
|
| 119 |
96 115 118
|
3eqtr3i |
|