Step |
Hyp |
Ref |
Expression |
1 |
|
negiso.1 |
|
2 |
|
simpr |
|
3 |
2
|
renegcld |
|
4 |
|
simpr |
|
5 |
4
|
renegcld |
|
6 |
|
recn |
|
7 |
|
recn |
|
8 |
|
negcon2 |
|
9 |
6 7 8
|
syl2an |
|
10 |
9
|
adantl |
|
11 |
1 3 5 10
|
f1ocnv2d |
|
12 |
11
|
mptru |
|
13 |
12
|
simpli |
|
14 |
|
ltneg |
|
15 |
|
negex |
|
16 |
|
negex |
|
17 |
15 16
|
brcnv |
|
18 |
14 17
|
bitr4di |
|
19 |
|
negeq |
|
20 |
19 1 15
|
fvmpt |
|
21 |
|
negeq |
|
22 |
21 1 16
|
fvmpt |
|
23 |
20 22
|
breqan12d |
|
24 |
18 23
|
bitr4d |
|
25 |
24
|
rgen2 |
|
26 |
|
df-isom |
|
27 |
13 25 26
|
mpbir2an |
|
28 |
|
negeq |
|
29 |
28
|
cbvmptv |
|
30 |
12
|
simpri |
|
31 |
29 30 1
|
3eqtr4i |
|
32 |
27 31
|
pm3.2i |
|