let a, b be Element of COMPLEX ; for r being Real holds Rotate ((a - b),r) = (Rotate (a,r)) - (Rotate (b,r))
let r be Real; Rotate ((a - b),r) = (Rotate (a,r)) - (Rotate (b,r))
thus Rotate ((a - b),r) =
(Rotate (a,r)) + (Rotate ((- b),r))
by Th71
.=
(Rotate (a,r)) - (Rotate (b,r))
by Th72
; verum