Theorems · Definition · category theory
CompHausLike.coproductCocone
{P : TopCat → Prop} →
(X Y : CompHausLike P) → [CompHausLike.HasProp P (↑X.toTop ⊕ ↑Y.toTop)] → CategoryTheory.Limits.BinaryCofan X YExplicit binary cofan in CompHausLike P, given that the predicate P is preserved under taking
type-theoretic sums.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompHausLike.HasProp
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- CompHausLike.toTopstatement and proof · cited by 258
- CompHausLikestatement and proof · cited by 145
- CategoryTheory.Limits.BinaryCofan.mkproof · cited by 83
- CategoryTheory.Limits.BinaryCofanstatement · cited by 58
- CompHausLike.HasPropstatement and proof · cited by 19
- CompHausLike.ofHomproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- CompHausLike.coproductIsColimitstatement · cited by 0