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Using truth tables prove the following logical equivalences : (p ∨ q ) → r ≡ (p → r) ∧ (q → r)

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Using truth tables prove the following logical equivalences :

(p ∨ q ) → r ≡ (p → r) ∧ (q → r)

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(p ∨ q ) → r ≡ (p → r) ∧ (q → r)

The entries in the columns 5 and 8 are identical. 

∴ (p ∨ q ) → r ≡ (p → r) ∧ (q → r).

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