Step |
Hyp |
Ref |
Expression |
1 |
|
df-dp2 |
Could not format _ A B = ( A + ( B / ; 1 0 ) ) : No typesetting found for |- _ A B = ( A + ( B / ; 1 0 ) ) with typecode |- |
2 |
|
dpval |
Could not format ( ( A e. NN0 /\ B e. RR ) -> ( A . B ) = _ A B ) : No typesetting found for |- ( ( A e. NN0 /\ B e. RR ) -> ( A . B ) = _ A B ) with typecode |- |
3 |
|
nn0cn |
|
4 |
|
recn |
|
5 |
|
dfdec10 |
Could not format ; A B = ( ( ; 1 0 x. A ) + B ) : No typesetting found for |- ; A B = ( ( ; 1 0 x. A ) + B ) with typecode |- |
6 |
5
|
oveq1i |
Could not format ( ; A B / ; 1 0 ) = ( ( ( ; 1 0 x. A ) + B ) / ; 1 0 ) : No typesetting found for |- ( ; A B / ; 1 0 ) = ( ( ( ; 1 0 x. A ) + B ) / ; 1 0 ) with typecode |- |
7 |
|
10re |
|
8 |
7
|
recni |
|
9 |
8
|
a1i |
|
10 |
|
id |
|
11 |
9 10
|
mulcld |
|
12 |
|
10pos |
|
13 |
7 12
|
gt0ne0ii |
|
14 |
8 13
|
pm3.2i |
|
15 |
|
divdir |
|
16 |
14 15
|
mp3an3 |
|
17 |
11 16
|
sylan |
|
18 |
|
divcan3 |
|
19 |
8 13 18
|
mp3an23 |
|
20 |
19
|
oveq1d |
|
21 |
20
|
adantr |
|
22 |
17 21
|
eqtrd |
|
23 |
6 22
|
syl5eq |
Could not format ( ( A e. CC /\ B e. CC ) -> ( ; A B / ; 1 0 ) = ( A + ( B / ; 1 0 ) ) ) : No typesetting found for |- ( ( A e. CC /\ B e. CC ) -> ( ; A B / ; 1 0 ) = ( A + ( B / ; 1 0 ) ) ) with typecode |- |
24 |
3 4 23
|
syl2an |
Could not format ( ( A e. NN0 /\ B e. RR ) -> ( ; A B / ; 1 0 ) = ( A + ( B / ; 1 0 ) ) ) : No typesetting found for |- ( ( A e. NN0 /\ B e. RR ) -> ( ; A B / ; 1 0 ) = ( A + ( B / ; 1 0 ) ) ) with typecode |- |
25 |
1 2 24
|
3eqtr4a |
Could not format ( ( A e. NN0 /\ B e. RR ) -> ( A . B ) = ( ; A B / ; 1 0 ) ) : No typesetting found for |- ( ( A e. NN0 /\ B e. RR ) -> ( A . B ) = ( ; A B / ; 1 0 ) ) with typecode |- |