Theorems · Theorem · category theory
Condensed.isSheafProfinite
∀ {A : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} A] (X : Condensed A)
[∀ (Y : CompHausᵒᵖ),
CategoryTheory.Limits.HasLimitsOfShape (CategoryTheory.StructuredArrow Y profiniteToCompHaus.op) A],
CategoryTheory.Presheaf.IsSheaf (CategoryTheory.coherentTopology Profinite) (profiniteToCompHaus.op.comp X.obj)- Defined in
- Mathlib.Condensed.Equivalence
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
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 and proof · cited by 8,081
- CategoryTheory.Functor.compstatement · cited by 6,529
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- CategoryTheory.Equivalence.inverseproof · cited by 1,130
- CategoryTheory.Functor.opstatement and proof · cited by 997
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.StructuredArrowstatement and proof · cited by 370
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