Full Idea
Two propositions are 'contradictory' if they are never both true and never both false either, which means that ¬(A↔B) is a tautology.
Gist of Idea
'Contradictory' propositions always differ in truth-value
Source
E.J. Lemmon (Beginning Logic [1965], 2.3)
Book Reference
Lemmon,E.J.: 'Beginning Logic' [Nelson 1979], p.70