I am asking for a *reference* for the following lemma (for which I know a proof).

>  **Lemma.** Let $f\colon X\to Y$ be a surjective morphism of irreducible ***smooth***  complex algebraic varieties (separated, reduced, irreducible schemes of finite type over $\Bbb C$) with ***smooth***  fibres over closed points of $Y$. The $f$ is smooth if and only if all these fibres  have the same dimension $\dim X-\dim Y$.

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