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Provide proof arguments for each: Let  (T,  V0)  be a rooted tree on set  A.Let  (T,  ...

Provide proof arguments for each:

Let  (T,  V0)  be a rooted tree on set  A.Let  (T,  V0)  be a rooted tree on set  A.

Prove that T is irreflexive and asymmetric.Prove that T is irreflexive and asymmetric.

Provie if  (a,  b)∈T  and  (b,  c)∈T,  then  (a,  c)∉T,  for all a, b, and c in  A.

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