Question

Derive the following. Do not use quantifier exchange rules (in case you happen to know what...

Derive the following. Do not use quantifier exchange rules (in case you happen to know
what they are.)

1). ∃x(Fx v Gx) ├ ∃xFx v ∃xGx

2) ∃xFx → ∀yGy, ∀xFx ├ ∀zGz

3) ∀x(Fx → ∀y(Gy → Hxy)), ∃x(Fx & ∃y~Hxy) ├ ∃x~Gx

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