Step |
Hyp |
Ref |
Expression |
1 |
|
2nn |
|
2 |
|
1ne2 |
|
3 |
|
1ex |
|
4 |
|
2ex |
|
5 |
3 4 4 4
|
fpr |
|
6 |
|
2prm |
|
7 |
6 6
|
pm3.2i |
|
8 |
4 4
|
prss |
|
9 |
7 8
|
mpbi |
|
10 |
|
fss |
|
11 |
9 10
|
mpan2 |
|
12 |
2 5 11
|
mp2b |
|
13 |
|
prmex |
|
14 |
|
prex |
|
15 |
13 14
|
elmap |
|
16 |
12 15
|
mpbir |
|
17 |
|
2re |
|
18 |
|
3re |
|
19 |
|
2lt3 |
|
20 |
17 18 19
|
ltleii |
|
21 |
|
2cn |
|
22 |
|
fveq2 |
|
23 |
3 4
|
fvpr1 |
|
24 |
2 23
|
ax-mp |
|
25 |
22 24
|
eqtrdi |
|
26 |
|
fveq2 |
|
27 |
4 4
|
fvpr2 |
|
28 |
2 27
|
ax-mp |
|
29 |
26 28
|
eqtrdi |
|
30 |
|
id |
|
31 |
30
|
ancri |
|
32 |
3
|
jctl |
|
33 |
2
|
a1i |
|
34 |
25 29 31 32 33
|
sumpr |
|
35 |
21 34
|
ax-mp |
|
36 |
|
2p2e4 |
|
37 |
35 36
|
eqtr2i |
|
38 |
20 37
|
pm3.2i |
|
39 |
|
fveq1 |
|
40 |
39
|
sumeq2sdv |
|
41 |
40
|
eqeq2d |
|
42 |
41
|
anbi2d |
|
43 |
42
|
rspcev |
|
44 |
16 38 43
|
mp2an |
|
45 |
|
oveq2 |
|
46 |
|
df-2 |
|
47 |
46
|
oveq2i |
|
48 |
|
1z |
|
49 |
|
fzpr |
|
50 |
48 49
|
ax-mp |
|
51 |
|
1p1e2 |
|
52 |
51
|
preq2i |
|
53 |
50 52
|
eqtri |
|
54 |
47 53
|
eqtri |
|
55 |
45 54
|
eqtrdi |
|
56 |
55
|
oveq2d |
|
57 |
|
breq1 |
|
58 |
55
|
sumeq1d |
|
59 |
58
|
eqeq2d |
|
60 |
57 59
|
anbi12d |
|
61 |
56 60
|
rexeqbidv |
|
62 |
61
|
rspcev |
|
63 |
1 44 62
|
mp2an |
|