The original proposition and the inverse proposition are reciprocal; No proposition and original proposition are mutually negative; The original proposition and the negative proposition are mutually negative; Whether the inverse proposition is reciprocal or not; Negative proposition and negative proposition are mutually negative; Negative proposition, negative proposition, negative proposition. The same is true for compound propositions in P and Q forms. For compound propositions in the form of p or q, the same false is false. For non-P compound proposition, the fact is just the opposite.
proposition
Proposition (judgment) refers to the semantics of judgment sentences (the concept actually expressed), which is a phenomenon that can be defined and observed. Proposition refers not to the judgment sentence itself, but to the semantics expressed. When different sentences have the same semantics, they express the same proposition. In mathematics, a declarative sentence to judge something is generally called a proposition.
For two propositions, if the condition and conclusion of one proposition are the negation of the conclusion and condition of the other proposition, then these two propositions are called mutually negative propositions, one of which is called the original proposition and the other is called the negative proposition of the original proposition. The negation of a proposition is a new proposition that only negates the conclusion of the proposition. Whether it is a proposition or not is different.
Baidu Encyclopedia-Proposition