Step |
Hyp |
Ref |
Expression |
1 |
|
ismrer1.1 |
|
2 |
|
ismrer1.2 |
|
3 |
|
sneq |
|
4 |
3
|
xpeq1d |
|
5 |
4
|
mpteq2dv |
|
6 |
5 2
|
eqtr4di |
|
7 |
|
f1oeq1 |
|
8 |
6 7
|
syl |
|
9 |
3
|
oveq2d |
|
10 |
|
f1oeq3 |
|
11 |
9 10
|
syl |
|
12 |
8 11
|
bitrd |
|
13 |
|
eqid |
|
14 |
|
reex |
|
15 |
|
vex |
|
16 |
|
eqid |
|
17 |
13 14 15 16
|
mapsnf1o3 |
|
18 |
12 17
|
vtoclg |
|
19 |
|
sneq |
|
20 |
19
|
xpeq2d |
|
21 |
|
snex |
|
22 |
|
snex |
|
23 |
21 22
|
xpex |
|
24 |
20 2 23
|
fvmpt3i |
|
25 |
24
|
fveq1d |
|
26 |
25
|
adantr |
|
27 |
|
snidg |
|
28 |
|
fvconst2g |
|
29 |
15 27 28
|
sylancr |
|
30 |
26 29
|
sylan9eqr |
|
31 |
|
sneq |
|
32 |
31
|
xpeq2d |
|
33 |
32 2 23
|
fvmpt3i |
|
34 |
33
|
fveq1d |
|
35 |
34
|
adantl |
|
36 |
|
vex |
|
37 |
|
fvconst2g |
|
38 |
36 27 37
|
sylancr |
|
39 |
35 38
|
sylan9eqr |
|
40 |
30 39
|
oveq12d |
|
41 |
40
|
oveq1d |
|
42 |
|
resubcl |
|
43 |
42
|
adantl |
|
44 |
|
absresq |
|
45 |
43 44
|
syl |
|
46 |
41 45
|
eqtr4d |
|
47 |
43
|
recnd |
|
48 |
47
|
abscld |
|
49 |
48
|
recnd |
|
50 |
49
|
sqcld |
|
51 |
46 50
|
eqeltrd |
|
52 |
|
fveq2 |
|
53 |
|
fveq2 |
|
54 |
52 53
|
oveq12d |
|
55 |
54
|
oveq1d |
|
56 |
55
|
sumsn |
|
57 |
51 56
|
syldan |
|
58 |
57 46
|
eqtrd |
|
59 |
58
|
fveq2d |
|
60 |
47
|
absge0d |
|
61 |
48 60
|
sqrtsqd |
|
62 |
59 61
|
eqtrd |
|
63 |
|
f1of |
|
64 |
18 63
|
syl |
|
65 |
64
|
ffvelrnda |
|
66 |
64
|
ffvelrnda |
|
67 |
65 66
|
anim12dan |
|
68 |
|
snfi |
|
69 |
|
eqid |
|
70 |
69
|
rrnmval |
|
71 |
68 70
|
mp3an1 |
|
72 |
67 71
|
syl |
|
73 |
1
|
remetdval |
|
74 |
73
|
adantl |
|
75 |
62 72 74
|
3eqtr4rd |
|
76 |
75
|
ralrimivva |
|
77 |
1
|
rexmet |
|
78 |
69
|
rrnmet |
|
79 |
|
metxmet |
|
80 |
68 78 79
|
mp2b |
|
81 |
|
isismty |
|
82 |
77 80 81
|
mp2an |
|
83 |
18 76 82
|
sylanbrc |
|