Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.smoothLocus_eq_top
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [inst : AlgebraicGeometry.Smooth f],
AlgebraicGeometry.Scheme.Hom.smoothLocus f = ⊤- Cited by
- 1 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.Smooth
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites47
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- CategoryTheory.Functor.objproof · cited by 19,642
- Algebraproof · cited by 11,388
- Top.topstatement and proof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Set.univproof · cited by 3,945
- TopCat.carrierstatement and proof · cited by 3,184
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.smoothLocus_eq_top_iffproof · cited by 0