let CP be ConceptStr of C; :: thesis: CP is quasi-empty
( the Extent of CP is empty or the Intent of CP is empty )
proof
consider x being Element of the Extent of CP;
assume not the Extent of CP is empty ; :: thesis: the Intent of CP is empty
then A1: x in the Extent of CP ;
thus the Intent of CP is empty :: thesis: verum
proof
consider x being Element of the Intent of CP;
assume not the Intent of CP is empty ; :: thesis: contradiction
then x in the Intent of CP ;
hence contradiction by A1, Def2; :: thesis: verum
end;
end;
hence CP is quasi-empty by Def12; :: thesis: verum