%-------------------------------------------------------------------------- % File : claim3.thf % Domain : Basil Smith's Elementary Theory of Relations % Problems : % Version : % English : % Refs : % Source : Definitions from Basil Smith's Elementary Theory of Relations (CAMELEON 08) % Formalization by C E Brown % Names : % Status : % Rating : % Syntax : % Comments : %-------------------------------------------------------------------------- include('ElemRelns.ax'). %-------------------------------------------------------------------------- thf(claim,conjecture,(![X:$i]: ((cls @ X) => (((trans @ X) & (sym @ X)) & (refl @ X))))).