Step |
Hyp |
Ref |
Expression |
1 |
|
leatom.b |
|
2 |
|
leatom.l |
|
3 |
|
leatom.z |
|
4 |
|
leatom.a |
|
5 |
1 2 3
|
op0le |
|
6 |
5
|
3adant3 |
|
7 |
6
|
biantrurd |
|
8 |
|
opposet |
|
9 |
8
|
3ad2ant1 |
|
10 |
1 3
|
op0cl |
|
11 |
1 4
|
atbase |
|
12 |
|
id |
|
13 |
10 11 12
|
3anim123i |
|
14 |
13
|
3com23 |
|
15 |
|
eqid |
|
16 |
3 15 4
|
atcvr0 |
|
17 |
16
|
3adant2 |
|
18 |
1 2 15
|
cvrnbtwn4 |
|
19 |
9 14 17 18
|
syl3anc |
|
20 |
|
eqcom |
|
21 |
20
|
orbi1i |
|
22 |
19 21
|
syl6bb |
|
23 |
7 22
|
bitrd |
|
24 |
|
orcom |
|
25 |
23 24
|
syl6bb |
|