uniformly equicontinuous

A family $\\mathcal{F}$ of functions from a metric space $(X,d)$ to a metric space $(X^{\\prime},d^{\\prime})$ is uniformly equicontinuous if, for each $\\varepsilon>0$ there exists $\\delta>0$ such that,

\\forall f\\in\\mathcal{F},\\;\\forall x,y\\in X,\\;\\;d(x,y)<\\delta\\Rightarrow d^{%\\prime}(f(x),f(y))<\\varepsilon.

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