Mathlib Map

Theorems · Definition · category theory

CompHausLike.LocallyConstant.fiber

{P : TopCat → Prop} →
  [∀ (S : CompHausLike P) (p : ↑S.toTop → Prop), CompHausLike.HasProp P (Subtype p)] →
    {Q : CompHausLike P} →
      {Z : Type (max u w)} → (r : LocallyConstant (↑Q.toTop) Z) → Function.Fiber ⇑r → CompHausLike P

A fiber of a locally constant map as a CompHausLike P.

Defined in
Mathlib.Condensed.Discrete.LocallyConstant
Cited by
8 results in Mathlib
Foundations
Depth 92 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.

CompHausLike.LocallyConstant.sigmaIncl · cited by 7LocallyConstant.sigmaInclCompHausLike.LocallyConstant.counitAppApp · cited by 5LocallyConstant.counitApp…CompHausLike.LocallyConstant.sigmaIso · cited by 4LocallyConstant.sigmaIsoCompHausLike.LocallyConstant.incl_of_counitAppApp · cited by 3LocallyConstant.incl_of_c…CompHausLike.LocallyConstant.presheaf_ext · cited by 3LocallyConstant.presheaf_…CompHausLike.LocallyConstant.sigmaComparison_comp_sigmaIso · cited by 2LocallyConstant.sigmaComp…CompHausLike.LocallyConstant.counitAppAppImage · cited by 2LocallyConstant.counitApp…CompHausLike.LocallyConstant.componentHom · cited by 1LocallyConstant.component…CompHausLike.LocallyConstant.adjunction_left_triangle · cited by 0LocallyConstant.adjunctio…CompHausLike.LocallyConstant.counit_app_hom_app_hom_apply · cited by 0LocallyConstant.counit_ap…Condensed.isoLocallyConstantOfIsColimit_inv · cited by 0Condensed.isoLocallyConst…LightCondensed.isoLocallyConstantOfIsColimit_inv · cited by 0LightCondensed.isoLocally…CompHausLike.LocallyConstant.incl_comap · cited by 0LocallyConstant.incl_comapDFunLike.coe · cited by 62936DFunLike.coeSet.Elem · cited by 7166Set.ElemTopCat.carrier · cited by 3184TopCat.carrierTopCat · cited by 1889TopCatCompHausLike.toTop · cited by 258CompHausLike.toTopLocallyConstant · cited by 227LocallyConstantCompHausLike · cited by 145CompHausLikeCompHausLike.of · cited by 24CompHausLike.ofCompHausLike.HasProp · cited by 19CompHausLike.HasPropFunction.Fiber · cited by 18Function.FiberLocallyConstant.fiberCITED BYCITES

Cites10

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

Cited by13

Results whose statement or proof uses this declaration.