¬(¬p) ≡ p
To prove the given statement ¬(¬p) ≡ p, we need to show that the left-hand side (LHS) of the equation is equivalent to the right-hand side (RHS)
To prove the given statement ¬(¬p) ≡ p, we need to show that the left-hand side (LHS) of the equation is equivalent to the right-hand side (RHS).
Let’s break down the statement step by step:
LHS: ¬(¬p)
¬(¬p) means the negation of the negation of p. To simplify this expression, we can use the double negation law, which states that ¬(¬q) ≡ q. Applying this law to our expression, we can simplify ¬(¬p) to p:
LHS: ¬(¬p) => p
RHS: p
The RHS is simply p. Since the RHS is already p, there is nothing to simplify further.
Now we can compare the LHS and RHS:
LHS: p
RHS: p
Since the LHS is equal to the RHS, we can conclude that ¬(¬p) ≡ p.
More Answers:
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