Step |
Hyp |
Ref |
Expression |
1 |
|
dprdsplit.2 |
|
2 |
|
dprdsplit.i |
|
3 |
|
dprdsplit.u |
|
4 |
|
dmdprdsplit.z |
|
5 |
|
dmdprdsplit.0 |
|
6 |
|
simpr |
|
7 |
1
|
fdmd |
|
8 |
7
|
adantr |
|
9 |
|
ssun1 |
|
10 |
3
|
adantr |
|
11 |
9 10
|
sseqtrrid |
|
12 |
6 8 11
|
dprdres |
|
13 |
12
|
simpld |
|
14 |
|
ssun2 |
|
15 |
14 10
|
sseqtrrid |
|
16 |
6 8 15
|
dprdres |
|
17 |
16
|
simpld |
|
18 |
13 17
|
jca |
|
19 |
2
|
adantr |
|
20 |
6 8 11 15 19 4
|
dprdcntz2 |
|
21 |
6 8 11 15 19 5
|
dprddisj2 |
|
22 |
18 20 21
|
3jca |
|
23 |
1
|
adantr |
|
24 |
2
|
adantr |
|
25 |
3
|
adantr |
|
26 |
|
simpr1l |
|
27 |
|
simpr1r |
|
28 |
|
simpr2 |
|
29 |
|
simpr3 |
|
30 |
23 24 25 4 5 26 27 28 29
|
dmdprdsplit2 |
|
31 |
22 30
|
impbida |
|