Step |
Hyp |
Ref |
Expression |
1 |
|
frmdup3.m |
|
2 |
|
frmdup3.b |
|
3 |
|
frmdup3.u |
|
4 |
|
eqid |
|
5 |
|
simp1 |
|
6 |
|
simp2 |
|
7 |
|
simp3 |
|
8 |
1 2 4 5 6 7
|
frmdup1 |
|
9 |
5
|
adantr |
|
10 |
6
|
adantr |
|
11 |
7
|
adantr |
|
12 |
|
simpr |
|
13 |
1 2 4 9 10 11 3 12
|
frmdup2 |
|
14 |
13
|
mpteq2dva |
|
15 |
|
eqid |
|
16 |
15 2
|
mhmf |
|
17 |
8 16
|
syl |
|
18 |
3
|
vrmdf |
|
19 |
18
|
3ad2ant2 |
|
20 |
1 15
|
frmdbas |
|
21 |
20
|
3ad2ant2 |
|
22 |
21
|
feq3d |
|
23 |
19 22
|
mpbird |
|
24 |
|
fcompt |
|
25 |
17 23 24
|
syl2anc |
|
26 |
7
|
feqmptd |
|
27 |
14 25 26
|
3eqtr4d |
|
28 |
1 2 3
|
frmdup3lem |
|
29 |
28
|
expr |
|
30 |
29
|
ralrimiva |
|
31 |
|
coeq1 |
|
32 |
31
|
eqeq1d |
|
33 |
32
|
eqreu |
|
34 |
8 27 30 33
|
syl3anc |
|