The following set of sentences is probably inconsistent. ( P → ← Q ), ( P → Q ), ( P ∧ R ) (b) Using any of the proof rules (from Ch. 16 & 18 of the text) in the natural deduction system, complete the...

The following set of sentences is probably inconsistent.

(P→ ←Q), (P→Q), (P∧R)

(b) Using any of the proof rules (from Ch. 16 & 18 of the text) in the natural  deduction system, complete the proof that shows that set of sentences is  provably inconsistent.