Theorems · Theorem · algebraic geometry
AlgebraicGeometry.exists_isAffineOpen_mem_and_subset
∀ {X : AlgebraicGeometry.Scheme} {x : ↥X} {U : X.Opens},
x ∈ U → ∃ W, AlgebraicGeometry.IsAffineOpen W ∧ x ∈ W ∧ W.carrier ⊆ ↑U- Defined in
- Mathlib.AlgebraicGeometry.AffineScheme
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
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