Sentence examples for only if exists from inspiring English sources

An element of has a successor in if and only if exists and, and then.

(1) solves (1.4) if and only if exists with if and only if with for.

(b) If exists, it is a fixed point of if and only if exists.

If exists, it is a fixed point of if and only if exists.

Then T has an attractive point if and only if (exists zin C) such that ({T^{n}z:n=0,1,ldots}) is bounded.

Given a submultiplicative function v, a positive function ϕ is v-moderate if and only if exists C_{0}>0mboxquad phi(x+y)leq C_{0}v(x phi y quad text{for all } x,y in mathbb{R}^{n}.

For if it is accepted that lives dependR for their existence upon the persons whose lives they are, then, necessarily, x's life exists only if x exists.

In other words, a separating hyperplane exists only if there exists a linear relation among n given functions with probability one.

Checkpoints are a necessity only if terror exists; otherwise, there should be full freedom of movement.

Maps and are said to be owc if and only if there exists some point in such that and.

It can easily be shown that if and only if there exists such that (2.2).