> as lemmas

1892 F. N. Cole tr. E. Netto Theory Substitutions xv. 291 It follows..that H' is non-primitive in those elements which it connects transitively, and that H'' is intransitive, the systems of intransitivity coinciding with the system of non-transitivity of H'.

1938 Philos. Rev. 47 268 The logic of involvement is a logic of relevance, and therefore must firmly rest on the non-transitivity of the relation, ‘is involved with’.

1974 Sci. Amer. Oct. 120/2 If the nontransitivity is so counter-intuitive as to boggle the mind, we have what is called a nontransitive paradox.

2006 B. M. Brown et al. in A. C. Hsiung et al. Random Walk & Related Topics 236 Signals of non-transitivity, where pairwise comparisons might yield A > B > C > A, or circularity, are of interest because they may indicate the presence of mixtures with different components.