Step |
Hyp |
Ref |
Expression |
1 |
|
lines.b |
|
2 |
|
lines.l |
|
3 |
|
lines.s |
|
4 |
|
lines.k |
|
5 |
|
lines.p |
|
6 |
|
lines.a |
|
7 |
|
lines.m |
|
8 |
|
lines.1 |
|
9 |
|
df-line |
|
10 |
|
fveq2 |
|
11 |
1 10
|
syl5eq |
|
12 |
11
|
difeq1d |
|
13 |
|
fveq2 |
|
14 |
3 13
|
syl5eq |
|
15 |
14
|
fveq2d |
|
16 |
4 15
|
syl5eq |
|
17 |
|
fveq2 |
|
18 |
6 17
|
syl5eq |
|
19 |
|
fveq2 |
|
20 |
5 19
|
syl5eq |
|
21 |
3
|
fveq2i |
|
22 |
7 21
|
eqtri |
|
23 |
|
2fveq3 |
|
24 |
22 23
|
syl5eq |
|
25 |
3
|
fveq2i |
|
26 |
8 25
|
eqtri |
|
27 |
|
2fveq3 |
|
28 |
26 27
|
syl5eq |
|
29 |
|
eqidd |
|
30 |
24 28 29
|
oveq123d |
|
31 |
|
eqidd |
|
32 |
20 30 31
|
oveq123d |
|
33 |
20
|
oveqd |
|
34 |
18 32 33
|
oveq123d |
|
35 |
34
|
eqeq2d |
|
36 |
16 35
|
rexeqbidv |
|
37 |
11 36
|
rabeqbidv |
|
38 |
11 12 37
|
mpoeq123dv |
|
39 |
38
|
eqcomd |
|
40 |
39
|
eqcoms |
|
41 |
|
elex |
|
42 |
1
|
fvexi |
|
43 |
42
|
difexi |
|
44 |
42 43
|
mpoex |
|
45 |
44
|
a1i |
|
46 |
9 40 41 45
|
fvmptd3 |
|
47 |
2 46
|
syl5eq |
|