Sufficiency: Suppose A is non-empty

proper subset of X such that it is [alpha]-open as well [alpha]-closed.

Given (B, [disjunction], [and]) is a Boolean-near-ring whose

proper subset (A, [disjunction], [and]) is a maximal set with uni-element in an associate ring R, and if the maximal set A is also a subset of B.

The only

proper subset in this situation is the empty set.

We now show that sets of FDs that are monodependent and optimum are closed under the

proper subset operation.

ii) no

proper subset of C is a sufficient condition for e;

n], let E be a relatively closed

proper subset of [Omega], and suppose that [Mathematical Expression Omitted].

A

proper subset P of <R [union] I> is called a neutosophic subring if P itself a neutrosophic ring under the operation of (R [union] I>.

22](10, 20)

Proper subset Smarandache which is groupoid t l semigroup inZ * (n)\Z (n) 2 {0,11} [Z.

Let I be a nonempty

proper subset of [n] with up and down interval decomposition oftype (v, w), nested components of type (1, [w.

Jointly these words form a

proper subset of the vocabulary or dictionary, namely the words that one is allowed to use.

On the basis of this and the foregoing differences, you might assume that the IFRS for SMEs is a

proper subset of full IFRS.

x} is a D-set for y, for it is true that if none of the events in it had occurred, y would not have occurred; {x} does not have a

proper subset that is a D-set for y because it does not have a

proper subset, period; so {x} is an M-set for y.