Along with symmetry and transitivity, reflexivity is one of three properties defining equivalence relations. Finals are suffixes which encode transitivity, animacy, and valency. Topological transitivity is a weaker version of topological mixing. One approach is to reject disjunction introduction but keep disjunctive syllogism and transitivity. The final includes transitivity and animacy markers, and valency markers. An important related theorem is the Birkhoff Transitivity Theorem. The concept of valency is related to transitivity. This violates the axiom of transitivity for the ordinal scale. Conferring notability is related to transitivity and the syllogism. A ring species is a species with a counterexample to the transitivity of interbreeding. Verbs are divided into classes depending on the transitivity and animacy of their argument(s). Also, pairs of verbs differing only in transitivity exist. These prefixes can affect the transitivity of a verb. They are completeness, transitivity, independence and continuity. The marker used depending on transitivity of verbs and other conditions outlined below.