Write 'T' for True and 'F' for False.
`(p vv q) ^^ p =p` is an absorption law.

Answer

To determine whether the statement `(p ∨ q) ∧ p = p` is an absorption law, we will analyze the absorption laws and compare them with the given statement.

### Step-by-Step Solution:

1. **Understanding Absorption Law**:
The absorption law in propositional logic consists of two main rules:
- Rule 1: \( p \lor (p \land q) \equiv p \)
- Rule 2: \( p \land (p \lor q) \equiv p \)

2. **Identifying the Given Statement**:
The given statement is `(p ∨ q) ∧ p = p`. We need to check if this statement can be derived from the absorption laws.

3. **Rearranging the Given Statement**:
We can rewrite the left side of the equation:
- The expression `(p ∨ q) ∧ p` can be interpreted as "p or q, and p".

4. **Applying the Absorption Law**:
According to the absorption law, we can simplify `(p ∨ q) ∧ p`:
- By applying Rule 1, we see that \( (p ∨ q) ∧ p \) simplifies to \( p \).

5. **Conclusion**:
Since we have shown that `(p ∨ q) ∧ p` simplifies to `p`, we can conclude that the statement `(p ∨ q) ∧ p = p` holds true.

6. **Final Answer**:
Therefore, the statement is indeed an absorption law, and we write 'T' for True.