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Update Mathlib/RingTheory/Smooth/Local.lean
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Co-authored-by: Christian Merten <[email protected]>
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erdOne and chrisflav authored Jan 6, 2025
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Expand Up @@ -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.
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