In[]:=
postulate:=
p
∑
i=1
Abs[x[[i]]-y[[i]]]
p
∑
i=1
Max[x[[i]],y[[i]]]
1-
p
∑
i=1
Min[x[[i]],y[[i]]]
p
∑
i=1
x[[i]]+
p
∑
i=1
y[[i]]-
p
∑
i=1
Min[x[[i]],y[[i]]]
;​​assumptions:=(p∈)∧(0<p)∧(i∈)∧(1≤i≤p)∧(x∈Arrays[p,

>0
])∧(y∈Arrays[p,

>0
]);​​result1=FullSimplify[postulate,assumptions];
Part
:The expression i cannot be used as a part specification.
Part
:The expression i cannot be used as a part specification.
Out[]=
$Aborted