Theorems · Theorem · category theory

CondensedSet.mem_locallyConstant_essImage_of_isColimit_mapCocone

∀ (X : CondensedSet)
  (h :
    (S : Profinite) → CategoryTheory.Limits.IsColimit ((profiniteToCompHaus.op.comp X.obj).mapCocone S.asLimitCone.op)),
  CondensedSet.LocallyConstant.functor.essImage X

Defined in: Mathlib.Condensed.Discrete.Characterization
Cited by: 1 results in Mathlib
Foundations: Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Functor.objproof · cited by 19,642
CategoryTheory.Functorstatement · cited by 16,252
Oppositestatement · cited by 8,081
CategoryTheory.Functor.compstatement and proof · cited by 6,529
CategoryTheory.Isoproof · cited by 3,963
TopCat.carrierstatement · cited by 3,184
TopCatstatement · cited by 1,889
CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
CategoryTheory.Equivalence.functorproof · cited by 1,268
CategoryTheory.Functor.opstatement and proof · cited by 997
CategoryTheory.Iso.symmproof · cited by 993
CategoryTheory.Presheaf.IsSheafstatement · cited by 991

Cited by1

Results whose statement or proof uses this declaration.

CondensedSet.isDiscrete_tfaeproof · cited by 1