Question

Use the laws of propositional logic to prove that the following compound propositions are tautologies.

((? → ?) ∧ (? → ?)) → (? → ?)

Answer 1

Ans:-

You should know :-

a ->(implies) b will be false only if a is true and b is false

a^b  will be true only if both a is true and b is true

If all cases are true then its tautology

Take all cases.

1 denotes True, 0 denotes False in below table

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bomo : - Here pimplies True, o implies false p q r (eq) ( gr) (6) (169) MG) ( 9 ) / ) (fr) 0 0 0 1 1 o ao a - - ooo o - --0- --- - oo ---- o - --0-OOO- -- -0-0- 1 1 0 0-