Show me the steps to solve Construct formal proofs for the validity of the $3$ arguments, below. You will have to add lines and justify them according to the $14$ Rules of inference and implication on$.$ You will have to read the sections that correspond to these rules to make sense of them. Do not use rules other than the $14.$ I will not accept responses responses that use other rules.

I gave you the following argument so that you would prove its validity:

Here are the arguments whose validity you will have to prove:

Argument $3$:

$($E $$ ~P$)($E $$ ~B$)$

~$($~P V ~B$)/$ ~E

Here is an example of what you are to do

Example:

A $($B $$ C$)$

~B $/$ ~A

To correctly prove its validity, you would have to do the following:

A $($B $$ C$)$

~B $/$~A

~B v ~C $2,$ Add.

~$($B $$ C$)3,$ De$.$ M$.$

$$ ~A $1,4,$ M$.$T$.$

Use the following symbols. That is $$copy$$ and $$paste$$ them for your symbolic sentences and tables, as needed:

And

V Or

$$ If then

$<->$ If and only if

~ Not

$$ Therefore