# Antecedent (logic)

An antecedent is the first half of a hypothetical proposition, whenever the if-clause precedes the then-clause.

Examples:

• If P, then Q.

This is a nonlogical formulation of a hypothetical proposition. In this case, the antecedent is P, and the consequent is Q. In an implication, if ${\displaystyle \phi }$ implies ${\displaystyle \psi }$ then ${\displaystyle \phi }$ is called the antecedent and ${\displaystyle \psi }$ is called the consequent.[1]

• If X is a man, then X is mortal.

"X is a man" is the antecedent for this proposition.

• If men have walked on the moon, then I am the king of France.

Here, "men have walked on the moon" is the antecedent.