Logical implication is a concept widely used in mathematics and logic. It refers to the relationship between two statements, where one statement implies the truth of another statement. Synonyms for logical implication include entailment, deduction, conclusion, consequence, and inference. Entailment is a term used in logic to denote the relationship between two propositions where one proposition logically follows from another proposition. Deduction is the inference of particular propositions from general principles through logical reasoning. Conclusion and consequence have similar connotations, referring to the result or outcome that follows from a particular action or decision. Inference refers to the process of drawing conclusions through logical reasoning based on evidence or premises.