How to solve a logic theorem containing disjunction and universal quantifier?

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Dos anyone know how to solve the following theorem?

$$⊢∀x(F[x] ∨ p) \iff (∀xF[x] ∨ p)$$

I managed to solve it from right to left, but not from left to right.

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Here is a formal proof in Fitch: enter image description here