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 PA fiber of a locally constant map as a CompHausLike P.
- 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Set.Elemproof · cited by 7,166
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- CompHausLike.toTopstatement and proof · cited by 258
- LocallyConstantstatement and proof · cited by 227
- CompHausLikestatement and proof · cited by 145
- CompHausLike.ofproof · cited by 24
- CompHausLike.HasPropstatement and proof · cited by 19
- Function.Fiberstatement and proof · cited by 18
Cited by13
Results whose statement or proof uses this declaration.
- CompHausLike.LocallyConstant.sigmaInclstatement · cited by 7
- CompHausLike.LocallyConstant.counitAppAppproof · cited by 5
- CompHausLike.LocallyConstant.sigmaIsostatement · cited by 4
- CompHausLike.LocallyConstant.incl_of_counitAppAppstatement and proof · cited by 3
- CompHausLike.LocallyConstant.presheaf_extstatement and proof · cited by 3
- CompHausLike.LocallyConstant.sigmaComparison_comp_sigmaIsostatement · cited by 2
- CompHausLike.LocallyConstant.counitAppAppImagestatement and proof · cited by 2
- CompHausLike.LocallyConstant.componentHomstatement and proof · cited by 1
- CompHausLike.LocallyConstant.adjunction_left_triangleproof · cited by 0
- CompHausLike.LocallyConstant.counit_app_hom_app_hom_applystatement · cited by 0
- Condensed.isoLocallyConstantOfIsColimit_invproof · cited by 0
- LightCondensed.isoLocallyConstantOfIsColimit_invproof · cited by 0