Theorems · Definition · category theory
CompHausLike.finiteCoproduct
{P : TopCat → Prop} →
{α : Type w} → [Finite α] → (X : α → CompHausLike P) → [CompHausLike.HasExplicitFiniteCoproduct X] → CompHausLike PThe coproduct of a finite family of objects in CompHaus, constructed as the disjoint
union with its usual topology.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCat.carrierproof · cited by 3,184
- Finitestatement and proof · cited by 3,029
- TopCatstatement and proof · cited by 1,889
- CompHausLike.toTopproof · cited by 258
- CompHausLikestatement and proof · cited by 145
- CompHausLike.ofproof · cited by 24
- CompHausLike.HasExplicitFiniteCoproductstatement and proof · cited by 8
Cited by17
Results whose statement or proof uses this declaration.
- CompHausLike.finiteCoproduct.ιstatement · cited by 8
- CompHausLike.LocallyConstant.sigmaIsostatement · cited by 4
- CompHausLike.finiteCoproduct.descstatement · cited by 4
- CompHaus.effectiveEpiFamily_tfaeproof · cited by 3
- CompHausLike.LocallyConstant.incl_of_counitAppAppproof · cited by 3
- CompHausLike.LocallyConstant.sigmaComparison_comp_sigmaIsostatement · cited by 2
- CompHausLike.finiteCoproduct.cofanproof · cited by 2
- CompHausLike.Sigma.isOpenEmbedding_ιproof · cited by 1
- CompHausLike.finiteCoproduct.isOpenEmbedding_ιstatement · cited by 1
- CompHausLike.finiteCoproduct.ι_descstatement · cited by 1
- CompHausLike.LocallyConstant.counit_app_hom_app_hom_applystatement · cited by 0
- CompHausLike.finiteCoproduct.hom_extstatement and proof · cited by 0