Mathlib Map

Structures · Geometry

AlgebraicGeometry.WeaklyEtale

A morphism is weakly étale if it is flat and the diagonal map is flat.

Defined in
Mathlib.AlgebraicGeometry.Morphisms.WeaklyEtale
Shape
One type argument · adds flat, flat_diagonal

Extends0

Extends nothing: this is a root of the hierarchy.

Extended by1

Forgetful instances

Every AlgebraicGeometry.WeaklyEtale is also a

Provided automatically by

Concrete types that are instances4

  • CategoryTheory.Functor.obj
  • CategoryTheory.Limits.pullback
  • AlgebraicGeometry.Scheme.Opens.toScheme
  • CategoryTheory.PreZeroHypercover.X

How is a type an instance?

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Assumed by12

Ancestors1