Theorems · Definition · category theory
CompHausLike.HasExplicitFiniteCoproduct
{P : TopCat → Prop} → {α : Type w} → (α → CompHausLike P) → PropA typeclass describing the property that forming the disjoint union is stable under the
property P.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCat.carrierproof · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- CompHausLike.toTopproof · cited by 258
- CompHausLikestatement and proof · cited by 145
- CompHausLike.HasPropproof · cited by 19
Cited by15
Results whose statement or proof uses this declaration.
- CompHausLike.finiteCoproductstatement and proof · cited by 13
- CompHausLike.finiteCoproduct.ιstatement and proof · cited by 8
- CompHausLike.finiteCoproduct.descstatement and proof · cited by 4
- CompHausLike.finiteCoproduct.isColimitstatement and proof · cited by 3
- CompHausLike.finiteCoproduct.cofanstatement and proof · cited by 2
- CompHausLike.Sigma.isOpenEmbedding_ιstatement and proof · cited by 1
- CompHausLike.finiteCoproduct.isOpenEmbedding_ιstatement and proof · cited by 1
- CompHausLike.finiteCoproduct.ι_descstatement and proof · cited by 1
- CompHausLike.HasExplicitFiniteCoproducts.casesOnstatement and proof · cited by 0
- CompHausLike.HasExplicitFiniteCoproducts.recOnstatement and proof · cited by 0
- CompHausLike.finiteCoproduct.hom_extstatement and proof · cited by 0
- CompHausLike.finiteCoproduct.ι_desc_applystatement and proof · cited by 0