Step |
Hyp |
Ref |
Expression |
1 |
|
esumsup.1 |
|
2 |
|
esumsup.2 |
|
3 |
|
esumgect.1 |
|
4 |
1 2
|
esumsup |
|
5 |
|
nfv |
|
6 |
|
nfcv |
|
7 |
|
nfmpt1 |
|
8 |
7
|
nfrn |
|
9 |
6 8
|
nfel |
|
10 |
5 9
|
nfan |
|
11 |
|
simpr |
|
12 |
|
simplll |
|
13 |
|
simplr |
|
14 |
12 13 3
|
syl2anc |
|
15 |
11 14
|
eqbrtrd |
|
16 |
|
eqid |
|
17 |
|
esumex |
|
18 |
16 17
|
elrnmpti |
|
19 |
18
|
biimpi |
|
20 |
19
|
adantl |
|
21 |
10 15 20
|
r19.29af |
|
22 |
21
|
ralrimiva |
|
23 |
|
ovexd |
|
24 |
|
simpll |
|
25 |
|
fz1ssnn |
|
26 |
25
|
a1i |
|
27 |
26
|
sselda |
|
28 |
24 27 2
|
syl2anc |
|
29 |
28
|
ralrimiva |
|
30 |
|
nfcv |
|
31 |
30
|
esumcl |
|
32 |
23 29 31
|
syl2anc |
|
33 |
32
|
ralrimiva |
|
34 |
16
|
rnmptss |
|
35 |
33 34
|
syl |
|
36 |
|
iccssxr |
|
37 |
35 36
|
sstrdi |
|
38 |
36 1
|
sseldi |
|
39 |
|
supxrleub |
|
40 |
37 38 39
|
syl2anc |
|
41 |
22 40
|
mpbird |
|
42 |
4 41
|
eqbrtrd |
|