Theorems · Definition · category theory
Condensed.underlying
(C : Type w) → [inst : CategoryTheory.Category.{u + 1, w} C] → CategoryTheory.Functor (Condensed C) CThe underlying object of a condensed object in C is the condensed object evaluated at a point.
This can be viewed as a sort of forgetful functor from Condensed C to C
- Defined in
- Mathlib.Condensed.Discrete.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- TopCatstatement · cited by 1,889
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.coherentTopologystatement and proof · cited by 141
- CompHausstatement and proof · cited by 61
- Condensedstatement · cited by 20
- CategoryTheory.sheafSectionsproof · cited by 16
- CompHaus.ofproof · cited by 11
Cited by7
Results whose statement or proof uses this declaration.
- Condensed.discreteUnderlyingAdjstatement · cited by 2
- CondensedSet.LocallyConstant.adjunctionstatement · cited by 2
- CondensedMod.LocallyConstant.adjunctionstatement · cited by 1
- CondensedSet.isDiscrete_tfaestatement · cited by 1
- Condensed.underlying_mapstatement and proof · cited by 0
- Condensed.underlying_objstatement and proof · cited by 0
- CondensedMod.isDiscrete_tfaestatement · cited by 0