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if-gt-0-a-b-R-2-a-lt-b-prove-a-b-




Question Number 21031 by youssoufab last updated on 10/Sep/17
if :∀ε>0, ∀(a,b)∈R^2 ,a<b+ε  prove: a≤b
$${if}\::\forall\epsilon>\mathrm{0},\:\forall\left({a},{b}\right)\in\mathbb{R}^{\mathrm{2}} ,{a}<{b}+\epsilon \\ $$$${prove}:\:{a}\leqslant{b} \\ $$

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