let A be non empty set ; :: thesis: for f, g being Element of Funcs A,REAL holds (minfuncreal A) . f,((maxfuncreal A) . g,f) = f
let f, g be Element of Funcs A,REAL ; :: thesis: (minfuncreal A) . f,((maxfuncreal A) . g,f) = f
thus (minfuncreal A) . f,((maxfuncreal A) . g,f) = (minfuncreal A) . f,((maxfuncreal A) . f,g) by Th20
.= f by Th28 ; :: thesis: verum