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Description
Now we have Contain
link, that is going from container
to conteined
.
That means that for example if container is set A, we have:
{
A ↦ 1,
A ↦ 2,
A ↦ 3,
A ↦ 4,
}
That leads to a contradiction, that A ↦ 1
and A ↦ 2
cannot exist at the same time, thus it is not possible to combine them into a single function.
On the other hand, if we change the direction:
{
1 ↦ A,
2 ↦ A,
3 ↦ A,
4 ↦ A,
}
We can correctly define a set using links, and we have function f(element) = A
for element = 1, or 2, or 3, or 4
.
The name Contain
also implies that it goes from container
to conteined
, that means we need not only another direction, but also need different name for new link type for example IsContainedBy
.
IsContainedBy
will go from conteined
to container
and it will be aligned with current math traditions.
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Todo