Theorems · Definition · category theory
CompHausLike.const
{P : TopCat → Prop} → (T : CompHausLike P) → {S : CompHausLike P} → ↑S.toTop → (T ⟶ S)A constant map as a morphism in CompHausLike
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 71 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.
- Quiver.Homstatement · cited by 32,603
- 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
- ContinuousMap.constproof · cited by 45
- CompHausLike.ofHomproof · cited by 11
Cited by14
Results whose statement or proof uses this declaration.
- LightCondSet.topCatAdjunctionUnitproof · cited by 1
- Condensed.isoFinYonedaComponents_hom_applystatement · cited by 1
- LightCondensed.isoFinYonedaComponents_hom_applystatement · cited by 1
- Condensed.isoFinYonedaComponents_inv_compproof · cited by 1
- LightCondensed.isoFinYonedaComponents_inv_compproof · cited by 1
- CondensedSet.topCatAdjunctionUnitproof · cited by 1
- LightCondensed.internallyProjective_free_natUnionInftyproof · cited by 0
- LightCondSet.topCatAdjunctionUnit_hom_appstatement · cited by 0
- Condensed.isoFinYonedaComponents_homstatement · cited by 0
- LightCondensed.isoFinYonedaComponents_homstatement · cited by 0
- Condensed.isoLocallyConstantOfIsColimit_invproof · cited by 0
- LightCondensed.isoLocallyConstantOfIsColimit_invproof · cited by 0