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Theorems · Definition · algebraic geometry

AlgebraicGeometry.AffineScheme.ofHom

{X Y : AlgebraicGeometry.Scheme} →
  [inst : AlgebraicGeometry.IsAffine X] →
    [inst_1 : AlgebraicGeometry.IsAffine Y] →
      (X ⟶ Y) → (AlgebraicGeometry.AffineScheme.of X ⟶ AlgebraicGeometry.AffineScheme.of Y)

Type check a morphism of schemes as a morphism in AffineScheme.

Defined in
Mathlib.AlgebraicGeometry.AffineScheme
Cited by
2 results in Mathlib
Foundations
Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.IsAffineAlgebraicGeometry.IsAffine
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

RingHom.IsStableUnderBaseChange.pullback_fst_appTop · cited by 2IsStableUnderBaseChange.p…AlgebraicGeometry.isPushout_appTop_of_isPullback · cited by 0AlgebraicGeometry.isPusho…Quiver.Hom · cited by 32603Quiver.HomAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.IsAffine · cited by 159AlgebraicGeometry.IsAffineCategoryTheory.InducedCategory.homMk · cited by 33InducedCategory.homMkAlgebraicGeometry.AffineScheme · cited by 2AlgebraicGeometry.AffineS…AlgebraicGeometry.AffineScheme.of · cited by 1AffineScheme.ofAffineScheme.ofHomCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.