let M be MidSp; for a, b, c being Element of st vect a,b = vect a,c holds
b = c
let a, b, c be Element of ; ( vect a,b = vect a,c implies b = c )
assume
vect a,b = vect a,c
; b = c
then
( a,b @@ a,b & a,b @@ a,c )
by Th32, Th43;
hence
b = c
by Th27; verum