Structures · Category theory
CategoryTheory.OverClass
OverClass X S is the typeclass containing the data of a structure morphism X ↘ S : X ⟶ S.
- Shape
- 2 explicit arguments · adds hom
Extends0
Extends nothing: this is a root of the hierarchy.
Extended by2
Forgetful instances
Provided automatically by
Concrete types that are instances0
No instance on a concrete type; it is reached through other classes.
How is a type an instance?
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Assumed by34
- CategoryTheory.OverClass.asOver
- CategoryTheory.comp_over
- CategoryTheory.OverClass.asOverHom
- CategoryTheory.comp_over_assoc
- CategoryTheory.Iso.asOver
- CategoryTheory.OverClass.asOverHom_comp
- CategoryTheory.OverClass.asOverHom.congr_simp
- CategoryTheory.IsOverTower
- CategoryTheory.OverClass.asOver_left
- CategoryTheory.homIsOver_of_isOverTower
- CategoryTheory.OverClass.instIsIsoOverAsOverHom
- CategoryTheory.instIsOverTower
- CategoryTheory.Iso.asOver_hom
- CategoryTheory.OverClass.instHomIsOverInvOfHom
- CategoryTheory.CanonicallyOverClass.over_def
- CategoryTheory.OverClass.asOverHom_inv
- CategoryTheory.OverClass.instHomIsOverHomAsIso
- CategoryTheory.OverClass.hom
- CategoryTheory.OverClass.Simps.over
- CategoryTheory.instHomIsOverComp
- CategoryTheory.OverClass.instHomIsOverHomOfInv
- CategoryTheory.OverClass.asOver_hom
- CategoryTheory.OverClass.instHomIsOverInvAsIso
- CategoryTheory.instIsOverTower_1
- CategoryTheory.CanonicallyOverClass.instOverClass
- CategoryTheory.OverClass.asOverHom_comp_assoc
- CategoryTheory.Iso.asOver_inv
- CategoryTheory.OverClass.instHomIsOverInv
- CategoryTheory.instHomIsOverId
- CategoryTheory.instHomIsOverOfIsOverTower_1
- CategoryTheory.OverClass.asOverHom_left
- CategoryTheory.instIsOverTower_2
- CategoryTheory.instHomIsOverOfIsOverTower
- CategoryTheory.OverClass.asOverHom_id
Ancestors0
No ancestors.