Prove that `~((~p)^^q) -=pvv(~q)`.

Explanation

To prove that \( \neg((\neg p) \land q) \equiv p \lor (\neg q) \), we will use a truth table approach. Here’s a step-by-step solution:

### Step 1: Identify the Variables
We have two variables, \( p \) and \( q \). We will consider all possible combinations of truth values for these variables.

### Step 2: Create a Truth Table
We will create a truth table that includes the columns for \( p \), \( q \), \( \neg p \), \( \neg q \), \( \neg p \land q \), \( \neg((\neg p) \land q) \), and \( p \lor (\neg q) \).

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