let A be non empty set ; :: thesis: for g, f being Element of Funcs A,REAL holds (maxfuncreal A) . ((minfuncreal A) . g,f),f = f
let g, f be Element of Funcs A,REAL ; :: thesis: (maxfuncreal A) . ((minfuncreal A) . g,f),f = f
thus (maxfuncreal A) . ((minfuncreal A) . g,f),f = (maxfuncreal A) . ((minfuncreal A) . f,g),f by Th21
.= f by Th25 ; :: thesis: verum