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I am searching for the proper term that describes the following set of criteria:

1) A word starts with "ab" 2) A word starts with "a"

or

1) The animal is a dog 2) The animal is a canine

As you can see it is not a case of true mutual exclusion because there is only a one-way exclusion. How can this relationship be called?

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    Actually, there is no exclusion at all. It's rather a matter of inclusiveness. All elements in set 1) are elements in set 2). You could say rule 1) is more specific than rule 2).
    – oerkelens
    Commented Aug 2, 2016 at 15:38

1 Answer 1

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From the domain of mathematics, assuming 1) is A and 2) is B:

A is a proper (or strict) subset of B.

or equivalently:

B is a proper superset of A

Alternative terms are inclusion or sometimes containment of A inside B.

As an Euler diagram:

enter image description here

Reference:
https://en.wikipedia.org/wiki/Subset

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