Step |
Hyp |
Ref |
Expression |
1 |
|
ex-sategoelelomsuc.s |
|
2 |
|
id |
|
3 |
|
peano2 |
|
4 |
2 3
|
ifcld |
|
5 |
4
|
adantr |
|
6 |
5 1
|
fmptd |
|
7 |
|
omex |
|
8 |
7
|
a1i |
|
9 |
8 8
|
elmapd |
|
10 |
6 9
|
mpbird |
|
11 |
|
sucidg |
|
12 |
1
|
a1i |
|
13 |
|
iftrue |
|
14 |
13
|
adantl |
|
15 |
|
2onn |
|
16 |
15
|
a1i |
|
17 |
12 14 16 2
|
fvmptd |
|
18 |
|
1one2o |
|
19 |
18
|
neii |
|
20 |
|
eqeq1 |
|
21 |
19 20
|
mtbiri |
|
22 |
21
|
iffalsed |
|
23 |
22
|
adantl |
|
24 |
|
1onn |
|
25 |
24
|
a1i |
|
26 |
12 23 25 3
|
fvmptd |
|
27 |
11 17 26
|
3eltr4d |
|
28 |
15 24
|
pm3.2i |
|
29 |
7 28
|
pm3.2i |
|
30 |
|
eqid |
|
31 |
30
|
sategoelfvb |
|
32 |
29 31
|
mp1i |
|
33 |
10 27 32
|
mpbir2and |
|