| Step |
Hyp |
Ref |
Expression |
| 1 |
|
3wlkd.p |
|- P = <" A B C D "> |
| 2 |
|
3wlkd.f |
|- F = <" J K L "> |
| 3 |
1
|
fveq2i |
|- ( # ` P ) = ( # ` <" A B C D "> ) |
| 4 |
|
s4len |
|- ( # ` <" A B C D "> ) = 4 |
| 5 |
|
df-4 |
|- 4 = ( 3 + 1 ) |
| 6 |
4 5
|
eqtri |
|- ( # ` <" A B C D "> ) = ( 3 + 1 ) |
| 7 |
2
|
fveq2i |
|- ( # ` F ) = ( # ` <" J K L "> ) |
| 8 |
|
s3len |
|- ( # ` <" J K L "> ) = 3 |
| 9 |
7 8
|
eqtr2i |
|- 3 = ( # ` F ) |
| 10 |
9
|
oveq1i |
|- ( 3 + 1 ) = ( ( # ` F ) + 1 ) |
| 11 |
6 10
|
eqtri |
|- ( # ` <" A B C D "> ) = ( ( # ` F ) + 1 ) |
| 12 |
3 11
|
eqtri |
|- ( # ` P ) = ( ( # ` F ) + 1 ) |