Informally, a restriction of a function is the same function but restricted to a subset of its domain. A formal definition follows now:
Let $f:A\mapsto B$ be a function and \(C\subset A\) is a proper subset of \(A\). The function \[{f|}_C : A \to B:=f:C\to B.\]
is called the restriction of \(f\) to \(C.\)
Definitions: 1 2 3 4 5 6
Propositions: 7
