Sentence examples for the converse implication from inspiring English sources
The converse implication usually fails.
We will prove also the converse implication.
The converse implication does not hold, however.
The converse implication is clearly also true.
Now we prove the converse implication.
To finish the proof, next we prove the converse implication.
However, the converse implications do not hold.
However, the converse implications do not hold, in general.
Notice that (iii) and (iv)⇒ v)⇒ vi)⇒ vii) but the converse implications are not true.
Łukasiewicz supposes one accepts also the converse implications $CpLp$ and $CMpp$, as one would from a deterministic point of view.
Definition 2.3 A multivalued operator T : E → 2 E ∗ is said to be occasionally pseudomonotone if, for any x i ∈ D ( T ), there exist y i ∈ T x i, i = 1, 2, such that 〈 x 1 − x 2, y 2 〉 ≥ 0 implies 〈 x 1 − x 2, y 1 〉 ≥ 0. It is clear that every monotone operator is pseudomonotone and every pseudomonotone operator is occasionally pseudomonotone, but the converse implications need not be true.
