Step |
Hyp |
Ref |
Expression |
1 |
|
pautset.s |
|
2 |
|
pautset.m |
|
3 |
|
elex |
|
4 |
|
fveq2 |
|
5 |
4 1
|
eqtr4di |
|
6 |
5
|
f1oeq2d |
|
7 |
|
f1oeq3 |
|
8 |
5 7
|
syl |
|
9 |
6 8
|
bitrd |
|
10 |
5
|
raleqdv |
|
11 |
5 10
|
raleqbidv |
|
12 |
9 11
|
anbi12d |
|
13 |
12
|
abbidv |
|
14 |
|
df-pautN |
|
15 |
1
|
fvexi |
|
16 |
15 15
|
mapval |
|
17 |
|
ovex |
|
18 |
16 17
|
eqeltrri |
|
19 |
|
f1of |
|
20 |
19
|
ss2abi |
|
21 |
18 20
|
ssexi |
|
22 |
|
simpl |
|
23 |
22
|
ss2abi |
|
24 |
21 23
|
ssexi |
|
25 |
13 14 24
|
fvmpt |
|
26 |
2 25
|
syl5eq |
|
27 |
3 26
|
syl |
|