Step |
Hyp |
Ref |
Expression |
1 |
|
ismid.p |
|
2 |
|
ismid.d |
|
3 |
|
ismid.i |
|
4 |
|
ismid.g |
|
5 |
|
ismid.1 |
|
6 |
|
lmif.m |
|
7 |
|
lmif.l |
|
8 |
|
lmif.d |
|
9 |
|
df-lmi |
|
10 |
|
fveq2 |
|
11 |
10 7
|
eqtr4di |
|
12 |
11
|
rneqd |
|
13 |
|
fveq2 |
|
14 |
13 1
|
eqtr4di |
|
15 |
|
fveq2 |
|
16 |
15
|
oveqd |
|
17 |
16
|
eleq1d |
|
18 |
|
eqidd |
|
19 |
|
fveq2 |
|
20 |
11
|
oveqd |
|
21 |
18 19 20
|
breq123d |
|
22 |
21
|
orbi1d |
|
23 |
17 22
|
anbi12d |
|
24 |
14 23
|
riotaeqbidv |
|
25 |
14 24
|
mpteq12dv |
|
26 |
12 25
|
mpteq12dv |
|
27 |
4
|
elexd |
|
28 |
7
|
fvexi |
|
29 |
|
rnexg |
|
30 |
|
mptexg |
|
31 |
28 29 30
|
mp2b |
|
32 |
31
|
a1i |
|
33 |
9 26 27 32
|
fvmptd3 |
|
34 |
|
eleq2 |
|
35 |
|
breq1 |
|
36 |
35
|
orbi1d |
|
37 |
34 36
|
anbi12d |
|
38 |
37
|
riotabidv |
|
39 |
38
|
mpteq2dv |
|
40 |
39
|
adantl |
|
41 |
1
|
fvexi |
|
42 |
41
|
mptex |
|
43 |
42
|
a1i |
|
44 |
33 40 8 43
|
fvmptd |
|
45 |
6 44
|
syl5eq |
|
46 |
4
|
adantr |
|
47 |
5
|
adantr |
|
48 |
8
|
adantr |
|
49 |
|
simpr |
|
50 |
1 2 3 46 47 7 48 49
|
lmieu |
|
51 |
|
riotacl |
|
52 |
50 51
|
syl |
|
53 |
45 52
|
fmpt3d |
|