Prove that the equalities in Exercises 1 − 11 hold for all x , y , z and w in Z . Assume only the basic postulates for Z and those properties proved in this section. Subtraction is defined by x − y = x + ( − y ) . − ( x + y ) = ( − x ) + ( − y )
Prove that the equalities in Exercises
1
−
11
hold for all
x
,
y
,
z
and
w
in
Z
. Assume only the basic postulates for
Z
and those properties proved in this section. Subtraction is defined by
x
−
y
=
x
+
(
−
y
)
.
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