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Description: Define minus infinity as
the power set of plus infinity. Note that the
definition is arbitrary, requiring only that  be a set not in
 and different
from  (see mnfnre 6666 and pnfnemnf 6707). |
| Ref | Expression |
|---|---|
| df-mnf |
   |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cmnf 6651 |
. 2
 | |
| 2 | cpnf 6650 |
. . 3
| |
| 3 | 2 | cpw 3032 |
. 2
|
| 4 | 1, 3 | wceq 1298 |
1
 |
| Colors of variables: wff set class |
| This definition is referenced by: mnfxr 6662 mnfxrOLD 6663 mnfnre 6666 pnfnemnf 6707 |