Theorems · Theorem · algebraic geometry
AlgebraicGeometry.SheafedSpace.IsOpenImmersion.opensFunctor.congr_simp
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : AlgebraicGeometry.SheafedSpace C} (f f_1 : X ⟶ Y)
(e_f : f = f_1) [H : AlgebraicGeometry.SheafedSpace.IsOpenImmersion f],
AlgebraicGeometry.SheafedSpace.IsOpenImmersion.opensFunctor f =
AlgebraicGeometry.SheafedSpace.IsOpenImmersion.opensFunctor f_1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- TopCat.carrierstatement · cited by 3,184
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.SheafedSpacestatement and proof · cited by 142
- AlgebraicGeometry.SheafedSpace.IsOpenImmersionstatement and proof · cited by 23
- AlgebraicGeometry.SheafedSpace.IsOpenImmersion.opensFunctorstatement and proof · cited by 13
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.