Step |
Hyp |
Ref |
Expression |
1 |
|
iprodclim3.1 |
|
2 |
|
iprodclim3.2 |
|
3 |
|
iprodclim3.3 |
|
4 |
|
iprodclim3.4 |
|
5 |
|
iprodclim3.5 |
|
6 |
|
iprodclim3.6 |
|
7 |
|
climdm |
|
8 |
4 7
|
sylib |
|
9 |
|
prodfc |
|
10 |
|
eqidd |
|
11 |
5
|
fmpttd |
|
12 |
11
|
ffvelrnda |
|
13 |
1 2 3 10 12
|
iprod |
|
14 |
9 13
|
syl5eqr |
|
15 |
|
seqex |
|
16 |
15
|
a1i |
|
17 |
|
fzssuz |
|
18 |
17 1
|
sseqtrri |
|
19 |
|
resmpt |
|
20 |
18 19
|
ax-mp |
|
21 |
20
|
fveq1i |
|
22 |
|
fvres |
|
23 |
21 22
|
syl5reqr |
|
24 |
23
|
prodeq2i |
|
25 |
|
prodfc |
|
26 |
24 25
|
eqtri |
|
27 |
|
eqidd |
|
28 |
|
simpr |
|
29 |
28 1
|
eleqtrdi |
|
30 |
|
elfzuz |
|
31 |
30 1
|
eleqtrrdi |
|
32 |
31 12
|
sylan2 |
|
33 |
32
|
adantlr |
|
34 |
27 29 33
|
fprodser |
|
35 |
26 34
|
syl5eqr |
|
36 |
6 35
|
eqtr2d |
|
37 |
1 16 4 2 36
|
climeq |
|
38 |
37
|
iotabidv |
|
39 |
|
df-fv |
|
40 |
|
df-fv |
|
41 |
38 39 40
|
3eqtr4g |
|
42 |
14 41
|
eqtrd |
|
43 |
8 42
|
breqtrrd |
|