Step |
Hyp |
Ref |
Expression |
1 |
|
simpl |
|
2 |
|
eqidd |
|
3 |
1 2
|
sscfn1 |
|
4 |
|
simpr |
|
5 |
|
eqidd |
|
6 |
4 5
|
sscfn1 |
|
7 |
3 6 1
|
ssc1 |
|
8 |
6 3 4
|
ssc1 |
|
9 |
7 8
|
eqssd |
|
10 |
9
|
sqxpeqd |
|
11 |
3
|
adantr |
|
12 |
1
|
adantr |
|
13 |
|
simprl |
|
14 |
|
simprr |
|
15 |
11 12 13 14
|
ssc2 |
|
16 |
6
|
adantr |
|
17 |
4
|
adantr |
|
18 |
7
|
adantr |
|
19 |
18 13
|
sseldd |
|
20 |
18 14
|
sseldd |
|
21 |
16 17 19 20
|
ssc2 |
|
22 |
15 21
|
eqssd |
|
23 |
22
|
ralrimivva |
|
24 |
|
eqfnov |
|
25 |
3 6 24
|
syl2anc |
|
26 |
10 23 25
|
mpbir2and |
|