Just a little pedantry: what are Scots if we are not Brits?
You just need to apply maths to answer this fraught question.
In mathematics, especially in set theory, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide. The relationship of one set being a subset of another is called inclusion or sometimes containment.
So ipso facto & QED, game, set & match.
(and may yer lum never reek).
In short, all Scots are Brits but not all Brits are Scots.