Mathlib Map

Theorems · Definition · category theory

CategoryTheory.Grpd.piLimitFan

⦃J : Type u⦄ → (F : J → CategoryTheory.Grpd) → CategoryTheory.Limits.Fan F

Construct the product over an indexed family of groupoids, as a fan.

Defined in
Mathlib.CategoryTheory.Groupoid.Grpd.Basic
Cited by
1 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.Grpd.piLimitFanIsLimit · cited by 2Grpd.piLimitFanIsLimitFundamentalGroupoidFunctor.piTopToPiCone · cited by 1FundamentalGroupoidFuncto…CategoryTheory.Grpd.piIsoPi_hom_π · cited by 0Grpd.piIsoPi_hom_πCategoryTheory.Bundled.α · cited by 736Bundled.αCategoryTheory.Limits.Fan · cited by 52Limits.FanCategoryTheory.Limits.Fan.mk · cited by 46Fan.mkCategoryTheory.Pi.eval · cited by 37Pi.evalCategoryTheory.Grpd · cited by 30CategoryTheory.GrpdCategoryTheory.Grpd.of · cited by 9Grpd.ofGrpd.piLimitFanCITED BYCITES

Cites6

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

Cited by3

Results whose statement or proof uses this declaration.