material implication

noun, Logic.
1.
equivalence (def 4a).
Origin
1900-05
British Dictionary definitions for material implication

material implication

noun (logic)
1.
the truth-functional connective that forms a compound sentence from two given sentences and assigns the value false to it only when its antecedent is true and its consequent false, without consideration of relevance; loosely corresponds to the English if … then
2.
a compound sentence formed with this connective