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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.LocallyQuasiFinite.comp_iff

∀ {X Y Z : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (g : Y ⟶ Z) [AlgebraicGeometry.LocallyQuasiFinite g],
  AlgebraicGeometry.LocallyQuasiFinite (CategoryTheory.CategoryStruct.comp f g) ↔ AlgebraicGeometry.LocallyQuasiFinite f
Defined in
Mathlib.AlgebraicGeometry.Morphisms.QuasiFinite
Cited by
1 results in Mathlib
Foundations
Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.LocallyQuasiFinite
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AlgebraicGeometry.Scheme.Hom.quasiFiniteAt_iff · cited by 0Hom.quasiFiniteAt_iffQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.LocallyQuasiFinite · cited by 29AlgebraicGeometry.Locally…AlgebraicGeometry.LocallyQuasiFinite.of_comp · cited by 1LocallyQuasiFinite.of_compLocallyQuasiFinite.comp_iffCITED BYCITES

Cites5

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