can ∀(∃,(≠∧∀((,)→(=∨=)))) be rewritten as: ∃,(≠∧∀(∀(,)→(=∨=)))?

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Can ∀(∃,(≠∧∀((,)→(=∨=)))) be rewritten as ∃,(≠∧∀(∀(,)→(=∨=)))

as i can shift the towards H(z,r), since there are no other "r" variables in the expression.