Step |
Hyp |
Ref |
Expression |
1 |
|
peano2nn0 |
|
2 |
|
ackvalsuc1 |
|
3 |
1 2
|
sylan2 |
|
4 |
|
fvexd |
|
5 |
1
|
adantl |
|
6 |
|
eqidd |
|
7 |
|
itcovalsucov |
|
8 |
4 5 6 7
|
syl3anc |
|
9 |
8
|
fveq1d |
|
10 |
|
ackfnnn0 |
|
11 |
10
|
adantr |
|
12 |
|
nn0ex |
|
13 |
12
|
a1i |
|
14 |
|
ackendofnn0 |
|
15 |
14
|
adantr |
|
16 |
|
simpr |
|
17 |
13 15 16
|
itcovalendof |
|
18 |
17
|
ffnd |
|
19 |
17
|
frnd |
|
20 |
|
fnco |
|
21 |
11 18 19 20
|
syl3anc |
|
22 |
|
eqidd |
|
23 |
|
itcovalsucov |
|
24 |
4 16 22 23
|
syl3anc |
|
25 |
24
|
fneq1d |
|
26 |
21 25
|
mpbird |
|
27 |
|
1nn0 |
|
28 |
|
fvco2 |
|
29 |
26 27 28
|
sylancl |
|
30 |
9 29
|
eqtrd |
|
31 |
|
ackvalsuc1 |
|
32 |
31
|
eqcomd |
|
33 |
32
|
fveq2d |
|
34 |
3 30 33
|
3eqtrd |
|