`Which of the following is the quantifier-negation rule?

A) $(x)(\dots x\dots )$ . Therefore, $(\dots$ a ... $)$
B) $\sim (x)(\dots x\dots )$ . Therefore, $(\exists x)\sim (\dots x\dots )$
C) $(\dots$ a .... $)$ . Therefore, $(\exists x)(\dots x\dots )$
D) $(\exists x)(\dots x\dots )$ Therefore, $(\dots \mathrm{a}\dots )$
E) $(\dots$ a ... ) Therefore, $(x)(\dots x\dots )$

Negation

The contradiction or denial of something, or the operation of inverting the truth value in logic.

Quantifier-Negation Rule

A principle in formal logic that deals with the relationship between quantifiers and the negation of statements.

Quantifier

A symbol or word in logic that specifies the quantity of specimens in the domain of discourse that satisfy an open formula.