let A be non empty set ; :: thesis: for p, q being Element of (RealFunc_Lattice A) holds (maxfuncreal A) . p,q = (maxfuncreal A) . q,p
let p, q be Element of (RealFunc_Lattice A); :: thesis: (maxfuncreal A) . p,q = (maxfuncreal A) . q,p
thus (maxfuncreal A) . p,q = q "\/" p by LATTICES:def 1
.= (maxfuncreal A) . q,p ; :: thesis: verum