innacessible cardinal as a model of $V_\kappa$

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Why $V_\kappa$ satisfies the replacement axiom so that it is a model of ZFC for any inaccessible cardinal $\kappa$ EDIT

Regular cardinal Replacement if $F$ is a class function then for any set $X$ there exists a set $Y=F(X)=\{F(x)|x\in X\}$