Theorems · Theorem · category theory
TopCat.Presheaf.stalkCongr_inv
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasColimits C] {X : TopCat}
(F : TopCat.Presheaf C X) {x y : ↑X} (e : Inseparable x y), (F.stalkCongr e).inv = F.stalkSpecializes ⋯- Defined in
- Mathlib.Topology.Sheaves.Stalks
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- TopCat.Presheaf.stalkstatement · cited by 407
- TopCat.Presheafstatement and proof · cited by 371
- Inseparablestatement and proof · cited by 160
- CategoryTheory.Limits.HasColimitsstatement and proof · cited by 139
- TopCat.Presheaf.stalkSpecializesstatement · cited by 51
- TopCat.Presheaf.stalkCongrstatement and proof · cited by 23
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.PartialMap.fromSpecStalkOfMem_restrictproof · cited by 2
- AlgebraicGeometry.ValuativeCriterion.Existence.of_specializingMapproof · cited by 1