Sentence examples for inverse implication from inspiring English sources

The inverse implication is evident.

The inverse implication, 2)⇒1), is checked similarly.

This completes the proof since the inverse implication is trivial.

The following example proves that the inverse implication of Lemma 1.10 does not hold.

To prove the inverse implication, we will need a simple lemma.

The following examples show that the inverse implication of Remark 2.5(1) does not hold.

where f ′ ( x ) is the first-order derivative of f ( x ) and f ( i ) ( x ) is the i th-order derivative of f ( x ), i ≥ 2. The definitions imply that the function tuple { f 0, f 1, …, f k − 1 } is an ECT-system on J, therefore it is a CT-system on J, and then a T-system on J; however, the inverse implications are all not true.

It is clear that the inverse of the above implication does not hold.

The various propositions explained in the chapter are the truth value, conjunction, disjunction, negation, implication (converse, inverse, and contrapositive), order of precedence, tautology, contradiction, and contingency.

Such differences might have caused the inverse result in prognostic implication.

We also discuss its implications to inverse scattering theory and invisibility.