Mathlib Map

Structures · Category theory

CategoryTheory.Limits.HasStrictInitialObjects

We say C has strict initial objects if every initial object is strict, i.e. given any morphism f : A ⟶ I where I is initial, then f is an isomorphism. Strictly speaking, this says that any initial object must be strict, rather than that strict initial objects exist.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.StrictInitial
Shape
One type argument · adds out

Extends0

Extends nothing: this is a root of the hierarchy.

Extended by1

Forgetful instances

Provided automatically by

Concrete types that are instances1

  • AlgebraicGeometry.Scheme

How is a type an instance?

Loading the hierarchy index…

Assumed by36

Ancestors0

No ancestors.