Theorems · Theorem · algebraic geometry
AlgebraicGeometry.diagonal_isAffine_iff_forall_isAffineOpen_inf
∀ {X Y : AlgebraicGeometry.Scheme} [inst : AlgebraicGeometry.IsAffine Y] (f : X ⟶ Y),
AlgebraicGeometry.AffineTargetMorphismProperty.diagonal (fun X x x_1 x_2 => AlgebraicGeometry.IsAffine X) f ↔
∀ (U V : X.Opens),
AlgebraicGeometry.IsAffineOpen U → AlgebraicGeometry.IsAffineOpen V → AlgebraicGeometry.IsAffineOpen (U ⊓ V)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.IsAffine
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Cites45
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