Theorems · Theorem · category theory
Condensed.underlying_obj
∀ (C : Type w) [inst : CategoryTheory.Category.{u + 1, w} C]
(j : CategoryTheory.Sheaf (CategoryTheory.coherentTopology CompHaus) C),
(Condensed.underlying C).obj j = j.obj.obj (Opposite.op (CompHaus.of PUnit.{u + 1}))- Defined in
- Mathlib.Condensed.Discrete.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites13
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.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- TopCatstatement · cited by 1,889
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.Sheafstatement and proof · cited by 763
- CategoryTheory.coherentTopologystatement and proof · cited by 141
- CompHausstatement and proof · cited by 61
- Condensedstatement · cited by 20
- CompHaus.ofstatement · cited by 11
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