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Mirrors > Home > ILE Home > Th. List > df-mnf | Unicode version |
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 7949). (Contributed by NM, 13-Oct-2005.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-mnf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cmnf 7939 | . 2 | |
2 | cpnf 7938 | . . 3 | |
3 | 2 | cpw 3564 | . 2 |
4 | 1, 3 | wceq 1348 | 1 |
Colors of variables: wff set class |
This definition is referenced by: mnfnre 7949 pnfnemnf 7961 mnfxr 7963 |
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