Step |
Hyp |
Ref |
Expression |
1 |
|
itcovalt2.f |
|
2 |
|
nn0ex |
|
3 |
2
|
mptex |
|
4 |
1 3
|
eqeltri |
|
5 |
|
simpl |
|
6 |
|
simpr |
|
7 |
|
itcovalsucov |
|
8 |
4 5 6 7
|
mp3an2ani |
|
9 |
|
2nn |
|
10 |
9
|
a1i |
|
11 |
|
id |
|
12 |
10 11
|
nnexpcld |
|
13 |
|
itcovalt2lem2lem1 |
|
14 |
12 13
|
sylanl1 |
|
15 |
|
eqidd |
|
16 |
|
oveq2 |
|
17 |
16
|
oveq1d |
|
18 |
17
|
cbvmptv |
|
19 |
1 18
|
eqtri |
|
20 |
19
|
a1i |
|
21 |
|
oveq2 |
|
22 |
21
|
oveq1d |
|
23 |
14 15 20 22
|
fmptco |
|
24 |
|
itcovalt2lem2lem2 |
|
25 |
24
|
mpteq2dva |
|
26 |
23 25
|
eqtrd |
|
27 |
26
|
adantr |
|
28 |
8 27
|
eqtrd |
|
29 |
28
|
ex |
|