Tutorial 19 Universal Generalization: Alternative Exercises.

You should now Launch Deriver and do the 1 exercise of Predicate Exercise 9 (Predex9).

Exercise to accompany Predicate Tutorial 9

Exercise 1(of 1)

Derive the following

(a) Fa ∴ (∀x)Fa

(b) (∀x) (Fx∧Gx) ∴ (∀x)Fx

(c) (∀x) (Fx∧Gx) ∴ (∀y)Fy

(d) ∴ (∀x)Fx≡(∀y)Fy

(e) (∀x) (Fx∧Gx) ∴ (∀y)Fy∧(∀z)Gz

(f) ∴ (∀x) (Fx∧Gx) ≡ (∀y)Fy∧(∀z)Gz

(g) ∴ (∀x) (Fx∧Gx) ≡ (∀x)Fx∧(∀x)Gx

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