Step |
Hyp |
Ref |
Expression |
1 |
|
df-scut |
|
2 |
1
|
mpofun |
|
3 |
|
dmscut |
|
4 |
|
df-fn |
|
5 |
2 3 4
|
mpbir2an |
|
6 |
1
|
rnmpo |
|
7 |
|
vex |
|
8 |
|
vex |
|
9 |
7 8
|
elimasn |
|
10 |
|
df-br |
|
11 |
9 10
|
bitr4i |
|
12 |
|
scutval |
|
13 |
|
scutcut |
|
14 |
13
|
simp1d |
|
15 |
12 14
|
eqeltrrd |
|
16 |
11 15
|
sylbi |
|
17 |
|
eleq1a |
|
18 |
16 17
|
syl |
|
19 |
18
|
adantl |
|
20 |
19
|
rexlimivv |
|
21 |
20
|
abssi |
|
22 |
6 21
|
eqsstri |
|
23 |
|
df-f |
|
24 |
5 22 23
|
mpbir2an |
|