:: Binary Arithmetics. Addition
:: by Takaya Nishiyama and Yasuho Mizuhara
::
:: Received October 8, 1993
:: Copyright (c) 1993-2012 Association of Mizar Users


begin

theorem Th1: :: BINARITH:1
for i, n being Nat
for D being non empty set
for d being Element of D
for z being Tuple of n,D st i in Seg n holds
(z ^ <*d*>) /. i = z /. i
proof end;