Step |
Hyp |
Ref |
Expression |
1 |
|
lineset.l |
|
2 |
|
lineset.j |
|
3 |
|
lineset.a |
|
4 |
|
lineset.n |
|
5 |
|
elex |
|
6 |
|
fveq2 |
|
7 |
6 3
|
eqtr4di |
|
8 |
|
fveq2 |
|
9 |
8 1
|
eqtr4di |
|
10 |
9
|
breqd |
|
11 |
|
fveq2 |
|
12 |
11 2
|
eqtr4di |
|
13 |
12
|
oveqd |
|
14 |
13
|
breq2d |
|
15 |
10 14
|
bitrd |
|
16 |
7 15
|
rabeqbidv |
|
17 |
16
|
eqeq2d |
|
18 |
17
|
anbi2d |
|
19 |
7 18
|
rexeqbidv |
|
20 |
7 19
|
rexeqbidv |
|
21 |
20
|
abbidv |
|
22 |
|
df-lines |
|
23 |
3
|
fvexi |
|
24 |
|
df-sn |
|
25 |
|
snex |
|
26 |
24 25
|
eqeltrri |
|
27 |
|
simpr |
|
28 |
27
|
ss2abi |
|
29 |
26 28
|
ssexi |
|
30 |
23 23 29
|
ab2rexex2 |
|
31 |
21 22 30
|
fvmpt |
|
32 |
4 31
|
syl5eq |
|
33 |
5 32
|
syl |
|