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Battool attends school but her youth has not protected her from propositions of marriage.

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Since is a hyperconvex metric space, and since, it follows from Proposition of [5] that is a hyperconvex metric space too.

Hence, every element ℒ in ℱ is either a subset of A1 or a subset of (X − A 1 ) ∪. Furthermore, as A1 is a subtree-like cluster of T and T ′ whose associated common subtree is S, it again follows from Proposition 3.2 of [ 5], that ℒ (S ) is a subset of an element, say ℒ S, in ℱ.

We also need the following approximation result that can be proved from Proposition 4.1 of [29] with minor modifications to accommodate the presence of (xinOmega).

It is well known from Proposition 7 of [13] that in a complete CAT 0) space, (A({x_{n}})) consists of exactly one point.

It is well known from Proposition 7 of [14] that in a (operatorname{CAT}(0)) space, (A({x_{n}})) consists of exactly one point.

From Proposition 3.3 of [8], we have rho(mathcal{A} leq9.8150.

From Proposition 5.3 of [10], we have the following theorem.

It follows from Proposition 3.3 of [5] that (vinmathcal{A}).

It is known from Proposition 4.1 of [8] that a (operatorname{CAT} k)) space with (operatorname{diam}(X)=frac{pi}{2sqrt{k}}), (A({x_{n}})) consists of exactly one point.

It is known from Proposition 7 of [22] that in a complete CAT ( 0 ) space, A ( { x n } ) consists of exactly one point.

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