Lemma 37.62.5. Let f : X = \mathop{\mathrm{Spec}}(B) \to S = \mathop{\mathrm{Spec}}(A) be a morphism of affine schemes. Then f is a local complete intersection morphism if and only if A \to B is a local complete intersection homomorphism, see More on Algebra, Definition 15.33.2.
Proof. Follows immediately from the definitions. \square
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