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HETAV PATEL

Grade 11,

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Pls. explain if and how identity function is always transitive?

Pls. explain if and how  identity function is always transitive?

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Transitivity is an attribute of all equivalence relations (along with symmetric and reflexive property). Identity relation is a prime example of an equivalence relation, so it satisfies all three properties.
 
if a = b and b = c then obviously a = c. The formal proof of this would depend on which foundations you are building and how the identity is defined.

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