Step |
Hyp |
Ref |
Expression |
1 |
|
ffvelrn |
|
2 |
1
|
recnd |
|
3 |
|
id |
|
4 |
3
|
feqmptd |
|
5 |
|
absf |
|
6 |
5
|
a1i |
|
7 |
6
|
feqmptd |
|
8 |
|
fveq2 |
|
9 |
2 4 7 8
|
fmptco |
|
10 |
9
|
adantr |
|
11 |
2
|
abscld |
|
12 |
11
|
fmpttd |
|
13 |
12
|
adantr |
|
14 |
|
fdm |
|
15 |
14
|
adantr |
|
16 |
|
mbfdm |
|
17 |
16
|
adantl |
|
18 |
15 17
|
eqeltrrd |
|
19 |
|
rexr |
|
20 |
|
elioopnf |
|
21 |
19 20
|
syl |
|
22 |
11
|
biantrurd |
|
23 |
22
|
bicomd |
|
24 |
21 23
|
sylan9bbr |
|
25 |
|
ltnle |
|
26 |
25
|
ancoms |
|
27 |
11 26
|
sylan |
|
28 |
|
absle |
|
29 |
1 28
|
sylan |
|
30 |
|
renegcl |
|
31 |
|
lenlt |
|
32 |
30 1 31
|
syl2anr |
|
33 |
1
|
biantrurd |
|
34 |
30
|
rexrd |
|
35 |
|
elioomnf |
|
36 |
34 35
|
syl |
|
37 |
36
|
bicomd |
|
38 |
33 37
|
sylan9bb |
|
39 |
38
|
notbid |
|
40 |
32 39
|
bitrd |
|
41 |
|
lenlt |
|
42 |
1 41
|
sylan |
|
43 |
1
|
biantrurd |
|
44 |
|
elioopnf |
|
45 |
19 44
|
syl |
|
46 |
45
|
bicomd |
|
47 |
43 46
|
sylan9bb |
|
48 |
47
|
notbid |
|
49 |
42 48
|
bitrd |
|
50 |
40 49
|
anbi12d |
|
51 |
29 50
|
bitrd |
|
52 |
51
|
notbid |
|
53 |
|
elun |
|
54 |
|
oran |
|
55 |
53 54
|
bitri |
|
56 |
52 55
|
bitr4di |
|
57 |
24 27 56
|
3bitrd |
|
58 |
57
|
an32s |
|
59 |
58
|
rabbidva |
|
60 |
|
eqid |
|
61 |
60
|
mptpreima |
|
62 |
|
eqid |
|
63 |
62
|
mptpreima |
|
64 |
59 61 63
|
3eqtr4g |
|
65 |
|
simpl |
|
66 |
65
|
feqmptd |
|
67 |
66
|
cnveqd |
|
68 |
67
|
imaeq1d |
|
69 |
64 68
|
eqtr4d |
|
70 |
|
imaundi |
|
71 |
69 70
|
eqtrdi |
|
72 |
71
|
adantlr |
|
73 |
|
mbfima |
|
74 |
|
mbfima |
|
75 |
|
unmbl |
|
76 |
73 74 75
|
syl2anc |
|
77 |
76
|
ancoms |
|
78 |
77
|
adantr |
|
79 |
72 78
|
eqeltrd |
|
80 |
|
abslt |
|
81 |
1 80
|
sylan |
|
82 |
|
elioomnf |
|
83 |
19 82
|
syl |
|
84 |
11
|
biantrurd |
|
85 |
84
|
bicomd |
|
86 |
83 85
|
sylan9bbr |
|
87 |
34 19
|
jca |
|
88 |
1
|
rexrd |
|
89 |
|
elioo5 |
|
90 |
89
|
3expa |
|
91 |
87 88 90
|
syl2anr |
|
92 |
81 86 91
|
3bitr4d |
|
93 |
92
|
an32s |
|
94 |
93
|
rabbidva |
|
95 |
60
|
mptpreima |
|
96 |
62
|
mptpreima |
|
97 |
94 95 96
|
3eqtr4g |
|
98 |
67
|
imaeq1d |
|
99 |
97 98
|
eqtr4d |
|
100 |
99
|
adantlr |
|
101 |
|
mbfima |
|
102 |
101
|
ancoms |
|
103 |
102
|
adantr |
|
104 |
100 103
|
eqeltrd |
|
105 |
13 18 79 104
|
ismbf2d |
|
106 |
10 105
|
eqeltrd |
|