1 | initial version |

For Sage `Set`

, there is a method that does that out of the box:

```
sage: s = Set([1,2,3]) ; s
{1, 2, 3}
sage: s.subsets()
Subsets of {1, 2, 3}
sage: list(s.subsets())
[{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}]
```

For Pyyhon `set`

you can use some `itertools`

or go back and forth to Sage `Set`

s :

```
sage: def powerset(s):
....: return set(Set(s).subsets())
sage: S = {1,2,3}
sage: powerset(S)
{{1, 3}, {}, {1}, {3}, {1, 2, 3}, {1, 2}, {2, 3}, {2}}
```

2 | No.2 Revision |

For Sage `Set`

~~, ~~ (see the uppercase), there is a method that does that out of the box:

```
sage: s = Set([1,2,3]) ; s
{1, 2, 3}
sage: s.subsets()
Subsets of {1, 2, 3}
sage: list(s.subsets())
[{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}]
```

For Pyyhon `set`

(see the lowercase) you can use some `itertools`

or go back and forth to Sage `Set`

s :

```
sage: def powerset(s):
....: return set(Set(s).subsets())
sage: S = {1,2,3}
sage: powerset(S)
{{1, 3}, {}, {1}, {3}, {1, 2, 3}, {1, 2}, {2, 3}, {2}}
```

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