let A be non empty set ; for f, g being Element of Funcs (A,REAL) holds (minfuncreal A) . (((maxfuncreal A) . (f,g)),f) = f
let f, g be Element of Funcs (A,REAL); (minfuncreal A) . (((maxfuncreal A) . (f,g)),f) = f
thus (minfuncreal A) . (((maxfuncreal A) . (f,g)),f) =
(minfuncreal A) . (((maxfuncreal A) . (g,f)),f)
by Th8
.=
f
by Th18
; verum