Mathlib Map

Theorems · Definition · category theory

CategoryTheory.Groupoid.ofIsGroupoid

{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.IsGroupoid C] → CategoryTheory.Groupoid C

Promote (noncomputably) an IsGroupoid to a Groupoid structure.

Defined in
Mathlib.CategoryTheory.Groupoid
Cited by
0 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext, Classical.choice
Assumes
CategoryTheory.CategoryCategoryTheory.IsGroupoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Localization.groupoid · cited by 0Localization.groupoidCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.inv · cited by 467CategoryTheory.invCategoryTheory.Groupoid · cited by 182CategoryTheory.GroupoidCategoryTheory.IsGroupoid · cited by 7CategoryTheory.IsGroupoidGroupoid.ofIsGroupoidCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.