Step |
Hyp |
Ref |
Expression |
1 |
|
ishlat.b |
|
2 |
|
ishlat.l |
|
3 |
|
ishlat.s |
|
4 |
|
ishlat.j |
|
5 |
|
ishlat.z |
|
6 |
|
ishlat.u |
|
7 |
|
ishlat.a |
|
8 |
|
fveq2 |
|
9 |
8 7
|
eqtr4di |
|
10 |
|
fveq2 |
|
11 |
10 2
|
eqtr4di |
|
12 |
11
|
breqd |
|
13 |
|
fveq2 |
|
14 |
13 4
|
eqtr4di |
|
15 |
14
|
oveqd |
|
16 |
15
|
breq2d |
|
17 |
12 16
|
bitrd |
|
18 |
17
|
3anbi3d |
|
19 |
9 18
|
rexeqbidv |
|
20 |
19
|
imbi2d |
|
21 |
9 20
|
raleqbidv |
|
22 |
9 21
|
raleqbidv |
|
23 |
|
fveq2 |
|
24 |
23 1
|
eqtr4di |
|
25 |
|
fveq2 |
|
26 |
25 3
|
eqtr4di |
|
27 |
26
|
breqd |
|
28 |
|
fveq2 |
|
29 |
28 5
|
eqtr4di |
|
30 |
29
|
breq1d |
|
31 |
27 30
|
bitrd |
|
32 |
26
|
breqd |
|
33 |
31 32
|
anbi12d |
|
34 |
26
|
breqd |
|
35 |
26
|
breqd |
|
36 |
|
fveq2 |
|
37 |
36 6
|
eqtr4di |
|
38 |
37
|
breq2d |
|
39 |
35 38
|
bitrd |
|
40 |
34 39
|
anbi12d |
|
41 |
33 40
|
anbi12d |
|
42 |
24 41
|
rexeqbidv |
|
43 |
24 42
|
rexeqbidv |
|
44 |
24 43
|
rexeqbidv |
|
45 |
22 44
|
anbi12d |
|
46 |
|
df-hlat |
|
47 |
45 46
|
elrab2 |
|
48 |
|
elin |
|
49 |
48
|
anbi1i |
|
50 |
|
elin |
|
51 |
|
df-3an |
|
52 |
49 50 51
|
3bitr4ri |
|
53 |
52
|
anbi1i |
|
54 |
47 53
|
bitr4i |
|