Lemma 29.34.5. The base change of a morphism which is smooth is smooth.
Proof. In the proof of Lemma 29.34.2 we saw that being smooth is a local property of ring maps. Hence the lemma follows from Lemma 29.14.5 combined with the fact that being smooth is a property of ring maps that is stable under base change, see Algebra, Lemma 10.137.4. \square
Comments (0)
There are also: