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This validates the equicontinuity of the elements in the set.
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(3.7) By the equicontinuity of B, we know that (W_{0} subset B) is also equicontinuous.
By the equicontinuity of H we know that (D_{0} subset D) is also equicontinuous.
For the equicontinuity of.
Thus, the equicontinuity of S is obtained.
end{aligned} (3.11) The equicontinuity of (Psi_{2}B_{r}) is proved.
The proof of the equicontinuity of the sequence ({x_{m} }) is similar to the previous proof of the equicontinuity of the sequence ({widetilde{y_{k}} }).
Then the following three conditions are equivalent: (i) A has the equicontinuity property for clc-spaces; (ii) A has the equicontinuity property for R; (iii) X is barrelled.
The equicontinuity of the cases (t_{1}< t_{2}leq0) and (t_{1}leq0leq t_{2}) is obvious.
The equicontinuity for the cases (t_{1}< t_{2}leq0) and (t_{1}leq0leq t_{2}) is obvious.
This proves the equicontinuity in the case where t ≠ t i, i = 1, 2, …, m.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com