Mathlib Map

Theorems · Definition · category theory

CategoryTheory.CardinalDirectedPoset.withTop

{κ : Cardinal.{u}} →
  [inst : Fact κ.IsRegular] → CategoryTheory.CardinalDirectedPoset κ → CategoryTheory.CardinalDirectedPoset κ

The map CardinalDirectedPoset κ → CardinalDirectedPoset κ which sends a partially ordered κ-filtered type J to WithTop J.

Defined in
Mathlib.CategoryTheory.Presentable.CardinalDirectedPoset
Cited by
5 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Fact
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.CardinalDirectedPoset.PropSetWithTop · cited by 5CardinalDirectedPoset.Pro…CategoryTheory.CardinalDirectedPoset.isCardinalPresentable_iff · cited by 3CardinalDirectedPoset.isC…CategoryTheory.CardinalDirectedPoset.propSetWithTop_pair · cited by 2CardinalDirectedPoset.pro…CategoryTheory.CardinalDirectedPoset.isColimitCoconeWithTop · cited by 1CardinalDirectedPoset.isC…CategoryTheory.CardinalDirectedPoset.coconeWithTop · cited by 1CardinalDirectedPoset.coc…CategoryTheory.CardinalDirectedPoset.exists_mem_propSetWithTop · cited by 1CardinalDirectedPoset.exi…CategoryTheory.CardinalFilteredPoset.PropSetWithTop · cited by 0CardinalFilteredPoset.Pro…CategoryTheory.CardinalFilteredPoset.coconeWithTop · cited by 0CardinalFilteredPoset.coc…CategoryTheory.CardinalFilteredPoset.exists_mem_propSetWithTop · cited by 0CardinalFilteredPoset.exi…CategoryTheory.CardinalFilteredPoset.isColimitCoconeWithTop · cited by 0CardinalFilteredPoset.isC…CategoryTheory.CardinalFilteredPoset.propSetWithTop_pair · cited by 0CardinalFilteredPoset.pro…CategoryTheory.CardinalFilteredPoset.withTop · cited by 0CardinalFilteredPoset.wit…WithTop · cited by 3754WithTopFact · cited by 2726FactCardinal · cited by 2598CardinalCategoryTheory.ObjectProperty.FullSubcategory.obj · cited by 1316FullSubcategory.objCardinal.IsRegular · cited by 282Cardinal.IsRegularPartOrdEmb.carrier · cited by 61PartOrdEmb.carrierCategoryTheory.CardinalDirectedPoset · cited by 24CategoryTheory.CardinalDi…CategoryTheory.CardinalDirectedPoset.of · cited by 0CardinalDirectedPoset.ofCardinalDirectedPoset.withTopCITED BYCITES

Cites8

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

Cited by12

Results whose statement or proof uses this declaration.