let i1, i2, i3, i4 be Element of INT ; :: thesis: Sum <*i1,i2,i3,i4*> = ((i1 + i2) + i3) + i4
thus Sum <*i1,i2,i3,i4*> =
Sum (<*i1,i2,i3*> ^ <*i4*>)
by FINSEQ_4:def 8
.=
(Sum <*i1,i2,i3*>) + (@ i4)
by GR_CY_1:20
.=
((i1 + i2) + i3) + i4
by RVSUM_1:108
; :: thesis: verum