Prove, or find a counterexample to, each of the following assertions: a. If or

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Prove, or find a counterexample to, each of the following assertions:

a. If α ⊨ γ or β |= γ (or both) then (α ∧ β) ⊨ γ

b. If α ⊨ (β ∧ γ) then α ⊨ β and α ⊨ γ.

c. If α ⊨ (β ∨ γ) then α ⊨ β or α ⊨ γ (or both).

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