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A is a proper subset of b You can stay here as long as you keep quiet. A number is in a only if it is in b
A number is in b if it is in a Note that providing/provided (that) is a bit formal C is a subset but not a proper subset of b
A number is in b if and only if it is in c, and a number is in c if and only if it is in b.
It only states that an instance of a requires an instance of b, but it doesn't specifically say that an instance of b requires an instance of a That's why [a only if b] is sufficient to express the conditional statement [a → b]. If only and only if are similar expressions that are used in different ways If only expresses a hope or wish
If only i had a real choice in the matter She needed to get away from her job if only for a week == only if expresses a command or requirement He can stay on the team only if he completes his homework and improves his grades
Read and learn about if and only if vs
If or only if, what's the difference On the alphascore lsat prep blog. 4 only if and if only are idiomatic phrases that are quite different in meaning If is used to express a condition
When used after only i.e Only if, it expresses a strong condition or the only situation in which something can happen A few examples of its use are given below The word only is an important one for logical purposes
To explore its intricacies, suppose that to get an a grade in math 101 you need to do two things
Only if is a conjunction which stipulates that what follows is necessarily and true Its meanings include providing that, assuming that, and as long as Sentences with if and sentences with only if can essentially mean the same thing, but only if is a stronger phrase That is, the conditional aspect of the meaning is more emphasized and prominent.
This form basically means the same as ' if' The main emphasis is on the result You can go out only if you do your homework Here, there is just a condition of doing homework
Then, he can go out
If he doesn't do his. When constructing sentences, the phrase only if is a powerful way to introduce a condition or requirement that must be met for something to happen This phrase signifies that a certain circumstance is necessary for another to occur, highlighting a crucial relationship between the two Understanding how to use only if correctly can enhance the […]
Only if you like classical music is it worth coming tonight So/as long as, providing/provided (that) so/as long as and providing/provided (that) can be used instead of if to express a condition
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