15. Can you chain implications together? That is, if P→ Q and Q → R, that means the P → R? Can you chain more implications together? Let's out: a. Prove that the following is a valid deduction rule: P -Q ... P→ R b. Prove that the following is a valid deduction rule for any n > 2: P → P2 P2 → P3 Pn-1 → Pn .. P → Pn.

Q: . Which of the following is logically equivalent to (¬p V q)^(¬p Vg) ^(¬p Vr) b.)q с.) —р d.)¬q E1.…

A: Solution 1: Given  (¬p∨q)∧(¬p∨q)∧(¬p∨r) ⇒(¬p∨q)∧(¬p∨r)                          Idempotent law A∧A=A…

Q: 12. Write the truth table for (p→q)^(q→ r).

A: We need to write truth table of (p→q)∧(q→r)

Q: Let F(x,y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is fair". The…

A: The symbolics given is as follows: ∀x∃y Wx→Ry∧Fx,y We are also given: Fx,y: "x is friends with y"Nx:…

Q: Q7. This is a continuation of Question 6. Late 0.6 Rain II Not Late 0.7 0.7 No Rair Late Which of…

A: