Step |
Hyp |
Ref |
Expression |
1 |
|
bcth.2 |
|
2 |
|
bcthlem.4 |
|
3 |
|
bcthlem.5 |
|
4 |
|
bcthlem.6 |
|
5 |
|
bcthlem.7 |
|
6 |
|
bcthlem.8 |
|
7 |
|
bcthlem.9 |
|
8 |
|
bcthlem.10 |
|
9 |
|
bcthlem.11 |
|
10 |
|
fvoveq1 |
|
11 |
|
id |
|
12 |
|
fveq2 |
|
13 |
11 12
|
oveq12d |
|
14 |
10 13
|
eleq12d |
|
15 |
14
|
rspccva |
|
16 |
9 15
|
sylan |
|
17 |
7
|
ffvelrnda |
|
18 |
1 2 3
|
bcthlem1 |
|
19 |
18
|
expr |
|
20 |
17 19
|
mpd |
|
21 |
16 20
|
mpbid |
|
22 |
21
|
simp3d |
|
23 |
22
|
difss2d |
|
24 |
23
|
3adant2 |
|
25 |
|
peano2nn |
|
26 |
|
cmetmet |
|
27 |
|
metxmet |
|
28 |
2 26 27
|
3syl |
|
29 |
1 2 3 4 5 6 7 8 9
|
bcthlem2 |
|
30 |
28 7 29 1
|
caublcls |
|
31 |
25 30
|
syl3an3 |
|
32 |
24 31
|
sseldd |
|