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High school mathematics has no proposition.
A:

Negative proposition of full name proposition or full name proposition. This is not a special proposition.

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Full name quantifier:

The phrases "to everyone" and "to anyone"

Logically, it is usually called a full-name quantifier, used together? (upside down capital "a") means,

Definition of full name proposition:

A proposition that contains a full-name quantifier is called a universal proposition.

Definition of special proposition: the proposition form of "some s is p" or "some s is not p" is called special proposition.

Special propositions have the meaning of existence.

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The negation of the full name proposition is the special name (existence) proposition.

Negative proposition of full name proposition or full name proposition.

For example:

Original proposition: A is B for everything;

There is no proposition: A is not everything B;

Negative: there is a but no B.