In 34-36, assume that R is a relation on a et A. Prove or disprove each statement.
If R is transitive, then is transitive.
To prove that if R is transitive, then is transitive.
Assume that R is a relation on a set A and is transitive.
Let us assume that R is transitive and let .
By the definition of the inverse relation:
By the definition of transitive (since R is transitive):
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