let A be non empty set ; :: thesis: for f, g being Element of Funcs A,REAL holds (maxfuncreal A) . f,((minfuncreal A) . g,f) = f
let f, g be Element of Funcs A,REAL ; :: thesis: (maxfuncreal A) . f,((minfuncreal A) . g,f) = f
thus (maxfuncreal A) . f,((minfuncreal A) . g,f) = (maxfuncreal A) . f,((minfuncreal A) . f,g) by Th21
.= f by Th24 ; :: thesis: verum