Condition for Composite Relation with Inverse to be Identity/Examples
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Examples of Use of Condition for Composite Relation with Inverse to be Identity
Arbitrary Example $1$
In the above we see that:
- $\RR$ is many-to-one
- $\RR$ is right-total
- $\RR \circ \RR^{-1} = I_T$.
Note, however, that $\RR^{-1}$ is neither many-to-one nor right-total, and does not need to be for $\RR \circ \RR^{-1} = I_T$.