theorem Th14:
for
n being
Nat st
n >= 1 holds
for
k being
Nat st
k >= 2 holds
for
tx,
ty,
tz,
tw being
Tuple of
n,
k -SD st ( for
i being
Nat holds
( not
i in Seg n or (
DigA (
tx,
i)
= DigA (
tz,
i) &
DigA (
ty,
i)
= DigA (
tw,
i) ) or (
DigA (
ty,
i)
= DigA (
tz,
i) &
DigA (
tx,
i)
= DigA (
tw,
i) ) ) ) holds
(SDDec tz) + (SDDec tw) = (SDDec tx) + (SDDec ty)