Step |
Hyp |
Ref |
Expression |
1 |
|
rrxsca.r |
|
2 |
|
eqid |
|
3 |
1 2
|
rrxprds |
|
4 |
3
|
fveq2d |
|
5 |
|
fvex |
|
6 |
5
|
mptex |
|
7 |
|
eqid |
|
8 |
|
eqid |
|
9 |
7 8
|
tngsca |
|
10 |
9
|
eqcomd |
|
11 |
6 10
|
mp1i |
|
12 |
|
eqid |
|
13 |
|
eqid |
|
14 |
|
eqid |
|
15 |
12 13 14
|
tcphval |
|
16 |
15
|
fveq2i |
|
17 |
16
|
a1i |
|
18 |
|
eqid |
|
19 |
|
refld |
|
20 |
19
|
a1i |
|
21 |
|
id |
|
22 |
|
snex |
|
23 |
22
|
a1i |
|
24 |
21 23
|
xpexd |
|
25 |
18 20 24
|
prdssca |
|
26 |
|
fvex |
|
27 |
|
eqid |
|
28 |
|
eqid |
|
29 |
27 28
|
resssca |
|
30 |
26 29
|
mp1i |
|
31 |
25 30
|
eqtrd |
|
32 |
11 17 31
|
3eqtr4d |
|
33 |
4 32
|
eqtrd |
|