Taking this fact into account, we immediately arrive at the following conclusion.
end{aligned} (3.5) By using (3.5), we immediately arrive at the Minkowski inequality and the theorem is completely proved.
Since we need (h(x_{1})=h(x_{2})) and the threshold is symmetric around 0, we immediately arrive at (x_{2}=a).
Using the fact that (sum_{j} alpha_{j} = sum_{j} alpha'_{j}=1) we immediately arrive at (alpha_{j} = alpha'_{j}) for all j, thus the trivial case.
Since, by the initial suppositions, u θ → u 0 in L ∞ as θ → 0, we immediately arrive at the following consequence of Lemma 6.1.
If there are no initially defaulting banks and, in addition, no bank has to liquidate parts of its illiquid asset holdings, we immediately arrive at the end of the clearing process and terminate.
We prove this by finite induction on i. Setting i = 1 in the claim of Step 1, we immediately arrive at the following inequality: d ( T x, T n + 1 x ) ⪯ co { λ d ( x, T x ), …, λ d ( x, T n x ), λ d ( T n x, T n + 1 x ), λ d ( x, T n + 1 x ) }, which proves the claim of Step 2 for i = 1.
Their families immediately arrived at the San José mine, and decided to stay there until their men returned to life.
"They have a long track record of diverting attention away from doing something now or immediately by arriving at the beginning of a meeting and announcing what they plan to do way off in the future," Mr. Mann said.
Now happiness will immediately arrive".
