let X be non empty set ; :: thesis: for f, g being Membership_Func of X holds max f,g c=
let f, g be Membership_Func of X; :: thesis: max f,g c=
let x be Element of X; :: according to FUZZY_1:def 3 :: thesis: f . x <= (max f,g) . x
(max f,g) . x = max (f . x),(g . x) by FUZZY_1:def 5;
hence f . x <= (max f,g) . x by XXREAL_0:25; :: thesis: verum