Question

Prove that if A is a subset if phi then A = phi

Answer 1

since A is a subset of phi therefore it will contain only the elements of phi.

since phi possess no elements therefore A also do not possess any element .

so A=phi

Answer 2

Answer:

If $A \subset \phi \: then \: A = \phi$

Step-by-step explanation:

To prove A = $\phi$

we have to show :

i)$A\subset \phi$

and

ii ) $\phi \subset A$

Proof:

i ) $A\subset \phi$---(1)

/* given */

ii)$\phi \subset A$----(2)

/* We know that,

$\phi$ is subset of every set */

/By Anti symmetric property */

We conclude that,

$A = \phi$

Therefore,

If $A \subset \phi \: then \: A = \phi$

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