let A be non empty set ; :: thesis: for f, g being Element of Funcs A,REAL holds (maxfuncreal A) . ((minfuncreal A) . f,g),f = f
let f, g be Element of Funcs A,REAL ; :: thesis: (maxfuncreal A) . ((minfuncreal A) . f,g),f = f
thus (maxfuncreal A) . ((minfuncreal A) . f,g),f = (maxfuncreal A) . f,((minfuncreal A) . f,g) by Th20
.= f by Th24 ; :: thesis: verum