Theorems · Definition · category theory
CompHausLike.isTerminalPUnit
{P : TopCat → Prop} →
[inst : CompHausLike.HasProp P PUnit.{u + 1}] → CategoryTheory.Limits.IsTerminal (CompHausLike.of P PUnit.{u + 1})A one-element space is terminal in CompHaus
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 70 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCatstatement and proof · cited by 1,889
- CategoryTheory.Limits.IsTerminalstatement · cited by 153
- CompHausLikestatement · cited by 145
- CompHausLike.ofstatement and proof · cited by 24
- CompHausLike.HasPropstatement and proof · cited by 19
- CategoryTheory.Limits.IsTerminal.ofUniqueproof · cited by 0
Cited by11
Results whose statement or proof uses this declaration.
- CompHaus.isTerminalPUnitproof · cited by 3
- LightProfinite.isTerminalPUnitproof · cited by 3
- Profinite.isTerminalPUnitproof · cited by 2
- CompHausLike.LocallyConstant.counitAppAppImageproof · cited by 2
- LightCondensed.discreteUnderlyingAdjproof · cited by 2
- LightCondSet.isDiscrete_tfaeproof · cited by 1
- CompHausLike.LocallyConstant.adjunction_left_triangleproof · cited by 0
- CompHausLike.cartesianMonoidalCategoryproof · cited by 0
- LightCondMod.isDiscrete_tfaeproof · cited by 0
- Condensed.isoLocallyConstantOfIsColimit_invproof · cited by 0
- LightCondensed.isoLocallyConstantOfIsColimit_invproof · cited by 0