let x0, x1, x2 be Real; :: thesis: for f being Function of REAL ,REAL st f is constant holds
[!f,x0,x1,x2!] = 0
let f be Function of REAL ,REAL ; :: thesis: ( f is constant implies [!f,x0,x1,x2!] = 0 )
assume A1:
f is constant
; :: thesis: [!f,x0,x1,x2!] = 0
then [!f,x0,x1,x2!] =
(0 - [!f,x1,x2!]) / (x0 - x2)
by DIFF_1:30
.=
(0 - 0 ) / (x0 - x2)
by A1, DIFF_1:30
;
hence
[!f,x0,x1,x2!] = 0
; :: thesis: verum