Mathematical application: If A can deduce B, then A is a sufficient condition for B. Where A is a subset of B, that is, what belongs to A must belong to B, but what belongs to B does not necessarily belong to A. Specifically, if an element belongs to B but does not belong to A, then A is the proper subset of B; If what belongs to B also belongs to A, A and B are equal.
Logical application: where there are things, there must be things; If there is no case A but not necessarily no case B, then A is a sufficient and unnecessary condition of B, which is called a sufficient condition.
Extended data:
Reasoning based on the logical properties of sufficient conditional hypothesis proposition is called sufficient conditional hypothesis reasoning. Sufficient conditional hypothesis reasoning is based on the proposition of sufficient conditional hypothesis, and draws a conclusion by affirming the antecedent or denying the latter.
This reasoning structure consists of three parts, in which the major premise is the sufficient conditional hypothesis judgment, and the minor premise and conclusion are the judgments composed of the antecedents or consequences of the sufficient conditional hypothesis judgment. Lenin said: "Any science is applied logic."
A hypothetical proposition that states a sufficient condition for one thing to be another thing is called a sufficient condition hypothetical proposition. The general form of the sufficient condition hypothesis proposition is: if P, then Q. The symbol is: p→q (pronounced as "P implies Q"). For example, "an object will remain stationary or move in a straight line at a constant speed without external force" is a hypothesis with sufficient conditions.