Mathlib Map

Theorems · Theorem · group theory

CategoryTheory.Subgroupoid.mem_top_objs

∀ {C : Type u} [inst : CategoryTheory.Groupoid C] (c : C), c ∈ ⊤.objs
Defined in
Mathlib.CategoryTheory.Groupoid.Subgroupoid
Cited by
2 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext
Assumes
CategoryTheory.Groupoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.Subgroupoid.obj_surjective_of_im_eq_top · cited by 1Subgroupoid.obj_surjectiv…CategoryTheory.Subgroupoid.isNormal_map · cited by 0Subgroupoid.isNormal_mapSet · cited by 53352SetTop.top · cited by 9680Top.topCategoryTheory.Groupoid · cited by 182CategoryTheory.GroupoidCategoryTheory.Subgroupoid · cited by 75CategoryTheory.SubgroupoidCategoryTheory.Subgroupoid.objs · cited by 29Subgroupoid.objsSubgroupoid.mem_top_objsCITED BYCITES

Cites5

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

Cited by2

Results whose statement or proof uses this declaration.