Step |
Hyp |
Ref |
Expression |
1 |
|
ecopopr.1 |
|
2 |
|
ecopopr.com |
|
3 |
|
ecopopr.cl |
|
4 |
|
ecopopr.ass |
|
5 |
|
ecopopr.can |
|
6 |
|
opabssxp |
|
7 |
1 6
|
eqsstri |
|
8 |
7
|
brel |
|
9 |
8
|
simpld |
|
10 |
7
|
brel |
|
11 |
9 10
|
anim12i |
|
12 |
|
3anass |
|
13 |
11 12
|
sylibr |
|
14 |
|
eqid |
|
15 |
|
breq1 |
|
16 |
15
|
anbi1d |
|
17 |
|
breq1 |
|
18 |
16 17
|
imbi12d |
|
19 |
|
breq2 |
|
20 |
|
breq1 |
|
21 |
19 20
|
anbi12d |
|
22 |
21
|
imbi1d |
|
23 |
|
breq2 |
|
24 |
23
|
anbi2d |
|
25 |
|
breq2 |
|
26 |
24 25
|
imbi12d |
|
27 |
1
|
ecopoveq |
|
28 |
27
|
3adant3 |
|
29 |
1
|
ecopoveq |
|
30 |
29
|
3adant1 |
|
31 |
28 30
|
anbi12d |
|
32 |
|
oveq12 |
|
33 |
|
vex |
|
34 |
|
vex |
|
35 |
|
vex |
|
36 |
|
vex |
|
37 |
33 34 35 2 4 36
|
caov411 |
|
38 |
|
vex |
|
39 |
|
vex |
|
40 |
38 34 33 2 4 39
|
caov411 |
|
41 |
38 34 33 2 4 39
|
caov4 |
|
42 |
40 41
|
eqtr3i |
|
43 |
32 37 42
|
3eqtr4g |
|
44 |
31 43
|
syl6bi |
|
45 |
3
|
caovcl |
|
46 |
3
|
caovcl |
|
47 |
|
ovex |
|
48 |
47 5
|
caovcan |
|
49 |
45 46 48
|
syl2an |
|
50 |
49
|
3impb |
|
51 |
50
|
3com12 |
|
52 |
51
|
3adant3l |
|
53 |
52
|
3adant1r |
|
54 |
44 53
|
syld |
|
55 |
1
|
ecopoveq |
|
56 |
55
|
3adant2 |
|
57 |
54 56
|
sylibrd |
|
58 |
14 18 22 26 57
|
3optocl |
|
59 |
13 58
|
mpcom |
|