[see also: intersect, encounter, come across, run into, satisfy]
The sets $A$ and $B$ meet in two points. [= Their intersection is a two-point set]
We may assume that this is the first point at which these two curves have met.
Each component which meets $X$ lies entirely within $Y$.
The remaining requirements for a type $F$ map are also met.
We can also appeal to Lemma 5 to see that the uniform continuity condition (5.3) is met.
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