Step |
Hyp |
Ref |
Expression |
1 |
|
lautset.b |
|
2 |
|
lautset.l |
|
3 |
|
lautset.i |
|
4 |
|
elex |
|
5 |
|
fveq2 |
|
6 |
5 1
|
eqtr4di |
|
7 |
6
|
f1oeq2d |
|
8 |
|
f1oeq3 |
|
9 |
6 8
|
syl |
|
10 |
7 9
|
bitrd |
|
11 |
|
fveq2 |
|
12 |
11 2
|
eqtr4di |
|
13 |
12
|
breqd |
|
14 |
12
|
breqd |
|
15 |
13 14
|
bibi12d |
|
16 |
6 15
|
raleqbidv |
|
17 |
6 16
|
raleqbidv |
|
18 |
10 17
|
anbi12d |
|
19 |
18
|
abbidv |
|
20 |
|
df-laut |
|
21 |
1
|
fvexi |
|
22 |
21 21
|
mapval |
|
23 |
|
ovex |
|
24 |
22 23
|
eqeltrri |
|
25 |
|
f1of |
|
26 |
25
|
ss2abi |
|
27 |
24 26
|
ssexi |
|
28 |
|
simpl |
|
29 |
28
|
ss2abi |
|
30 |
27 29
|
ssexi |
|
31 |
19 20 30
|
fvmpt |
|
32 |
3 31
|
syl5eq |
|
33 |
4 32
|
syl |
|