We assume the Distributional Inclusion Hypothesis (DIH) which states that a word (relation) r entails another word (relation) q if and only if in any context that r can be used, v can be used in its place (Dagan et al., 1999;Geffet and Dagan, 2005;Kartsaklis and Sadrzadeh, 2016).
in a correct and complete knowledge graph, we have: X r,e 1 ,e 2 = 1 → X q,e 1 ,e 2 = 1 =⇒ X r,e 1 ,e 2 ≤ X q,e 1 ,e 2 .