Let Γ be a set of Relational Logic sentences, and let φ and ψ be individual Relational Logic sentences. For each of the following claims, state whether it is correct.
a.
∀x.φ ⊨ φ
b.
φ ⊨ ∀x.φ
c.
If Γ ⊨ ¬φ[τ] for some ground term τ, then Γ ⊭ ∀x.φ[x]
d.
If Γ ⊨ φ[τ] for some ground term τ, then Γ ⊨ ∃x.φ[x]
e.
If Γ ⊨ φ[τ] for every ground term τ, then Γ ⊨ ∀x.φ[x]