Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.continuous
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y), Continuous ⇑f- Defined in
- Mathlib.AlgebraicGeometry.Scheme
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- TopCat.carrierstatement · cited by 3,184
- Continuousstatement · cited by 2,592
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- ContinuousMapstatement · cited by 2,491
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- TopCatstatement · cited by 1,889
Cited by42
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsAffineOpen.isCompactproof · cited by 17
- AlgebraicGeometry.Scheme.Hom.support_kerproof · cited by 6
- AlgebraicGeometry.quasiCompact_iff_isSpectralMapproof · cited by 2
- AlgebraicGeometry.compactSpace_iff_existsproof · cited by 2
- AlgebraicGeometry.Scheme.Hom.irreducibleComponentsEquivproof · cited by 2
- AlgebraicGeometry.Scheme.Hom.isCompact_preimage_singletonproof · cited by 2
- AlgebraicGeometry.Scheme.affineBasisCover_is_basisproof · cited by 2
- AlgebraicGeometry.UniversallyClosed.of_comp_surjectiveproof · cited by 2
- AlgebraicGeometry.exists_appTop_π_eq_of_isLimitproof · cited by 2
- AlgebraicGeometry.Scheme.IdealSheafData.support_comapstatement and proof · cited by 2
- AlgebraicGeometry.exists_smooth_of_formallySmooth_stalkproof · cited by 2