Step |
Hyp |
Ref |
Expression |
1 |
|
rrxsca.r |
|
2 |
|
rrx0.0 |
|
3 |
1
|
rrxval |
|
4 |
3
|
fveq2d |
|
5 |
|
eqid |
|
6 |
|
eqid |
|
7 |
|
eqid |
|
8 |
5 6 7
|
tcphval |
|
9 |
8
|
a1i |
|
10 |
9
|
fveq2d |
|
11 |
|
fvexd |
|
12 |
11
|
mptexd |
|
13 |
|
eqid |
|
14 |
|
eqid |
|
15 |
13 14
|
tng0 |
|
16 |
12 15
|
syl |
|
17 |
|
refld |
|
18 |
|
isfld |
|
19 |
|
drngring |
|
20 |
19
|
adantr |
|
21 |
18 20
|
sylbi |
|
22 |
17 21
|
ax-mp |
|
23 |
|
eqid |
|
24 |
|
re0g |
|
25 |
23 24
|
frlm0 |
|
26 |
22 25
|
mpan |
|
27 |
2 26
|
syl5req |
|
28 |
10 16 27
|
3eqtr2d |
|
29 |
4 28
|
eqtrd |
|