Step |
Hyp |
Ref |
Expression |
1 |
|
paste.1 |
|
2 |
|
paste.2 |
|
3 |
|
paste.4 |
|
4 |
|
paste.5 |
|
5 |
|
paste.6 |
|
6 |
|
paste.7 |
|
7 |
|
paste.8 |
|
8 |
|
paste.9 |
|
9 |
5
|
ineq2d |
|
10 |
|
indi |
|
11 |
6
|
ffund |
|
12 |
|
respreima |
|
13 |
|
respreima |
|
14 |
12 13
|
uneq12d |
|
15 |
11 14
|
syl |
|
16 |
10 15
|
eqtr4id |
|
17 |
|
imassrn |
|
18 |
|
dfdm4 |
|
19 |
|
fdm |
|
20 |
18 19
|
syl5eqr |
|
21 |
17 20
|
sseqtrid |
|
22 |
6 21
|
syl |
|
23 |
|
df-ss |
|
24 |
22 23
|
sylib |
|
25 |
9 16 24
|
3eqtr3rd |
|
26 |
25
|
adantr |
|
27 |
|
cnclima |
|
28 |
7 27
|
sylan |
|
29 |
|
restcldr |
|
30 |
3 28 29
|
syl2an2r |
|
31 |
|
cnclima |
|
32 |
8 31
|
sylan |
|
33 |
|
restcldr |
|
34 |
4 32 33
|
syl2an2r |
|
35 |
|
uncld |
|
36 |
30 34 35
|
syl2anc |
|
37 |
26 36
|
eqeltrd |
|
38 |
37
|
ralrimiva |
|
39 |
|
cldrcl |
|
40 |
3 39
|
syl |
|
41 |
|
cntop2 |
|
42 |
7 41
|
syl |
|
43 |
1
|
toptopon |
|
44 |
2
|
toptopon |
|
45 |
|
iscncl |
|
46 |
43 44 45
|
syl2anb |
|
47 |
40 42 46
|
syl2anc |
|
48 |
6 38 47
|
mpbir2and |
|