diff --git a/Mathlib/RingTheory/Smooth/Local.lean b/Mathlib/RingTheory/Smooth/Local.lean index bd4cdd3f0c29e..4223a15220c36 100644 --- a/Mathlib/RingTheory/Smooth/Local.lean +++ b/Mathlib/RingTheory/Smooth/Local.lean @@ -15,7 +15,7 @@ open TensorProduct IsLocalRing KaehlerDifferential /-- The **Jacobian criterion** for smoothness of local algebras. -Suppose `S` is a local `R`-algebra, and `0 → I → P → S → 0` be a presentation such that +Suppose `S` is a local `R`-algebra, and `0 → I → P → S → 0` is a presentation such that `P` is formally-smooth over `R`, `Ω[P⁄R]` is finite free over `P`, (typically satisfied when `P` is the localization of a polynomial ring of finite type) and `I` is finitely generated.