Step |
Hyp |
Ref |
Expression |
1 |
|
lplnset.b |
|
2 |
|
lplnset.c |
|
3 |
|
lplnset.n |
|
4 |
|
lplnset.p |
|
5 |
|
elex |
|
6 |
|
fveq2 |
|
7 |
6 1
|
eqtr4di |
|
8 |
|
fveq2 |
|
9 |
8 3
|
eqtr4di |
|
10 |
|
fveq2 |
|
11 |
10 2
|
eqtr4di |
|
12 |
11
|
breqd |
|
13 |
9 12
|
rexeqbidv |
|
14 |
7 13
|
rabeqbidv |
|
15 |
|
df-lplanes |
|
16 |
1
|
fvexi |
|
17 |
16
|
rabex |
|
18 |
14 15 17
|
fvmpt |
|
19 |
4 18
|
eqtrid |
|
20 |
5 19
|
syl |
|